If you paid an electrical engineer to shield something for you, depending on the application, they would either use MuMetal or this type of mesh shielding. It’s not some new technology, so there’s no question of whether it works, because it does. Regardless, it would still be nice for them to publish third-party independent testing to reassure people of this.
We purchased a cell phone case directly from SafeSleeve. Once received, we attempted to determine how much radiation protection is actually possible from the product. What we learned is that NONE of the products SafeSleeve sells are actually tested by an FCC approved lab. Their advertising is very misleading! The testing results they use as "proof" that their products are tested was a single test done ONLY on a piece of material they claim is used inside their products. NONE OF THEIR PRODUCTS HAVE EVER BEEN TESTED BY AN FCC APPROVED TESTING LAB. We read the test report from SafeSleeve's website and called the testing lab listed on the report who verified this information. We also called an independent, FCC approved cell phone testing lab and they explained the same thing. We were informed that radiation comes from all sides and edges of a cell phone, so when you use the SafeSleeve cell phone case, you are NOT being protected. SafeSleeve cell phone cases offer you no more protection than using a cell phone without a case. To protect yourself from cell phone radiation, you still need to use hold the phone at least 6-8 inches from your body, use the speaker for conversations, text more than talk, and don't use or carry your cell phone against your body. We attempted to have the SafeSleeve cell phone case tested and were informed that to have it properly tested would require paying thousands of dollars in a lab equipped for such testing; using an RF meter or similar device to test a cell phone case will not provide meaningful or accurate results. If SafeSleeve were an honest company, they would have each of their products tested in an FCC approved lab, the same type of lab that cell phones are tested in. However, SafeSleeve is not willing to spend the money. If you don't believe us, call an FCC approved cell phone testing lab and ask a few questions. In the meantime, don't waste your money on SafeSleeve products. Note: SafeSleeve attempts to protect themselves by not listing any business phone number or business address on their website. Any questions/complaints you may have with SafeSleeve are strictly handled via email. They refused our request to speak to a "real person" regarding our questions or issues with their products. Does the word SCAM apply here? We think so.

A recent small study in people has shown that cell phones may also have some other effects on the brain, although it’s not clear if they’re harmful. The study found that when people had an active cell phone held up to their ear for 50 minutes, brain tissues on the same side of the head as the phone used more glucose than did tissues on the other side of the brain. Glucose is a sugar that normally serves as the brain’s fuel. Glucose use goes up in certain parts of the brain when it is in use, such as when we are thinking, speaking, or moving. The possible health effect, if any, from the increase in glucose use from cell phone energy is unknown.

My iPhone 6s easily snapped into place. The case is attractive AND I can find my phone more easily than when I had no case. (There have been times when my slim iPhone got lost among a collection of papers. The case makes the phone more visible because of the case color and because it is thicker than the uncased phone.) I like the loop that you can attach to the case if you want to hang it on your wrist. Best of all, I am pleased about the radiation protection.
Specific Absorption Rate is an indicator of how much EMF radiation body tissue absorbs when you’re using a cell phone and is one way to measure and compare the harm of different devices. In this article, I wanted to provide a resource to compare and contrast the SAR levels of many popular phones and talk a bit about what Specific Absorption Rate is, and how we can use it.
He believes the FDA should put out guidance based on the results of the rat studies. “I would think it would be irresponsible to not put out indications to the public,” Melnick says. “Maintain a distance from this device from your children. Don’t sleep with your phone near your head. Use wired headsets. This would be something that the agencies could do right now.”
When you talk, your voice is transmitted from the antenna as radio frequency radiation (RFR) between 800 MHz and 2,200 MHz. A range equal to the middle of microwave frequency and 20% to 80% of the radiation emitted is deposited in the user's head. The microwave radiation is absorbed and penetrates the area around the head, some reaching an inch, to an inch and a half into the brain. Exposure to this microwave RFR has shown to have serious health consequences. Laboratory studies have shown that radiation from cell phones expose the user to a wide range of health problems including: 
Jump up ^ "Téléphones mobiles : santé et sécurité" (in French). Le ministère de la santé, de la jeunesse et des sports. 2 January 2008. Retrieved 19 January 2008. Lay article in (in English) making comment at Gitlin, Jonathan M. (3 January 2008). "France: Beware excessive cell phone use?: despite lack of data". Ars Technica. Retrieved 19 January 2008.

Jump up ^ For example, Finland "Radiation and Nuclear Safety Authority: Children's mobile phone use should be limited". Finnish Radiation and Nuclear Safety Authority (STUK). 7 January 2009. Archived from the original on 11 January 2010. Retrieved 20 January 2010. and France "Téléphone mobile, DAS et santé" [Mobile telephones, SAR and health] (PDF). Votre enfant et le téléphone mobile [Your child and mobile telephony]. Association Française des Opérateurs Mobiles (AFOM)[French Mobile Phone Operators' Association] et l’Union Nationale des Associations Familiales (UNAF) [National Federation of Family Associations]. 31 January 2007. Retrieved 20 January 2010.
One of the most robust animal studies in the world comes from the US government. In 1999, during the Clinton administration, the Food and Drug Administration asked the National Toxicology Program (NTP) to study the toxicity and cancer-causing capability of cellphone radio-frequency radiation. At the time, health officials felt epidemiological studies in humans wouldn’t answer these questions, so the NTP embarked on studies in rats and mice.
I have not gotten a cell phone, I was gifted a tablet, but it stays off most of the time, I use a desktop PC and my home phone is still landline but cordless. For me it’s been a bit of mixed bag in that I don’t want to rely so heavily on technology to do and remember things for me. When I hear about the new and latest tech that can now do X,Y, or Z for you, I think of the two little boys in the 80’s Cafe in BTTF.

SafeSleeve Anti Radiation Case: Safe Sleeve website says they integrate FCC accredited independent lab tested "shielding technology" in their products. There are many links to "SafeSleeve, Is it a Scam?" and "Does SafeSleeve work?" online, but if you follow those links you'll find they go to the actual SafeSleeve site where the question of SafeSleeve protection is addressed.  You'll see in this demonstration that the radiation level was higher with the SafeSleeve Case on.
To be fair I haven’t tried every single one on the list, but that just be careful in investing your sense of security, let alone good health, in a misplaced sense of something working just because someone says it does and they have “studies” to prove it. Every single company now claims “independently scientific studies” where as this is just usually falsified information and a marketing tactic.
Transmitters, including cell phones, emit radio signals on more than the assigned frequency. These other signals on other frequencies are “harmonics” and/or “noise” and/or “dirty” signals from less than optimal transmitters, antennae, and/or resonating frequencies emitted from metallic objects in close proximity to the transmitter, like the other components of the cell phone.
As a result, stories about a single nuclear meltdown or possible link between cellphone radiation and cancer will be amplified much more than news about the nine people who probably died today in the US from distracted driving. “This possible health effect from radiation is pretty esoteric at this point. If there is anything there, it seems to me like it’s going to be very, very small,” says Kenneth R. Foster, a bioengineering professor at the University of Pennsylvania who has been investigating whether there are biological effects from radio waves since the 1970s. “Driving and texting, people get killed doing that — but it’s not a very exciting risk to worry about.”
But, dear reader, don’t think we’ve reached a “case closed” moment: Unfortunately, even the best evidence on cellphones and brain tumors is far from ideal. Remember, these cohort studies are still observational research — not experimental studies like RCTs. That means they can’t tell us about causation, and there are still many ways they could be biased.
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Toward the end of 1998, Dr. Carlo’s house mysteriously burned down. Public records show that authorities determined the cause of the blaze was arson, but the case was never solved. Dr. Carlo refuses to discuss the incident and will only confirm that it happened. By this time, enough was enough. Dr. Carlo soon went “underground,” shunning the public eye and purposely making himself difficult to find.
Some scientists have reported that the RF waves from cell phones produce effects in human cells (in lab dishes) that might possibly help tumors grow. However, several studies in rats and mice have looked at whether RF energy might promote the development of tumors caused by other known carcinogens (cancer-causing agents). These studies did not find evidence of tumor promotion.

DefenderShield Cellphone Radiation Case also claims independent testing and says in their website: That a "sophisticated layering of separate non-toxic, human safe materials processed for maximum radiation blocking efficiency. Each material has unique and targeted radiation-shielding characteristics designed to work in unison to eliminate all radiation emissions from 0 to 10 GHZ and Defender Shield technology refracts, conducts and finally absorbs all these potentially harmful emissions."  In this demonstration, the radiation level measured when DefendeShield case was on is still quite a bit above the level of exposure that I would recommend. I personally do not recommend-holding a phone with a shielding case to your head as the DefenderShield website shows a young woman doing as she demonstrates the product. 
The electromagnetic spectrum is broken up into two parts based on whether small doses of that radiation can cause harm: ionizing radiation and non-ionizing radiation. Ionizing radiation—UV, x-rays, and gamma rays—has enough energy in one photon (quantized minimum packet of light) to remove electrons from atoms or break apart chemical bonds. It is because of this potential for cancer-causing DNA damage that you wear a lead vest when you get x-rays at the dentist and you are advised to wear sunblock when you go out in the sun. One can’t avoid natural (radon, cosmic rays when you are up in an airplane) and man made (diagnostic x-rays) sources of ionizing radiation completely, but it is reasonable advice to minimize exposure when possible.
The authors of these studies noted that the results were preliminary and that possible health outcomes from changes in glucose metabolism in humans were unknown. Such inconsistent findings are not uncommon in experimental studies of the biological effects of radiofrequency electromagnetic radiation in people (4). Some factors that can contribute to inconsistencies across such studies include assumptions used to estimate doses, failure to consider temperature effects, and lack of blinding of investigators to exposure status.