Yes, the information transferred between the base unit (the phone’s stationary unit) and the wireless phone’s mobile unit is transferred as radiowave radiation. Therefore, the “precautionary principle” should also be adopted regarding wireless phones. In addition to the guidelines regarding mobile phones, the Ministry of Health recommends regarding wireless phones:

5. Use an EMF shielding device. A variety of holsters and other cell phone holders and shields are available that claim to block radiation. If you buy such a product, look to see if it has an SAR (specific absorption rate) value. You want a shielding device that blocks the majority of EMFs. (SAR is a measure of the rate at which energy is absorbed by a body exposed to EMFs.) 
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That’s because of a new anti-radiation phone case from SafeSleeve, a small company that started making anti-radiation laptop cases roughly three years ago. "I was using my laptop computer on my lap, and a friend of mine told me I shouldn’t,” says company co-founder Cary Subel. “His dad was a urologist, who had told him that the effects of the radiation and heat can affect your fertility and potentially cause all sorts of other issues. So it was in the back of my mind. When I went to college, I was always using my laptop on my lap more and more, but I was hesitant. I figured there was something out there to block the radiation and heat. But I looked it up and there wasn’t much.” He says he developed a case for the laptop that did the job. From there, the cell phone cases became a natural progression, and through a 2014 Kickstarter campaign became reality.
The FCC has yet to implement GAO’s recommendations to more closely reflect real-life use. For a narrow subset of smartphones – those sold with lanyards or straps – the FCC advises manufacturers to test phones at a distance of no more than 5 mm from the body (FCC 2014). Yet the FCC has done nothing to ensure more realistic testing of most other smartphones or to account for the widespread use of accessories such as cases, which many different manufacturers produce with both metallic and non-metallic components.
As our video points out: Measurements will vary with signal strength and other factors and that includes ambient energy. I talk about ambient energy in a lot of my videos-it's the energy that's in whatever environment I happen to be measuring in that's coming from a source of wireless energy that isn't the subject of what I'm measuring.  My home is not a lab of course, but fortunately it's always measured very low for RF radiation. 
An analysis of data from all 13 countries participating in the Interphone study reported a statistically significant association between intracranial distribution of tumors within the brain and self-reported location of the phone (7). However, the authors of this study noted that it is not possible to draw firm conclusions about cause and effect based on their findings.
The effect of mobile phone radiation on human health is a subject of interest and study worldwide, as a result of the enormous increase in mobile phone usage throughout the world. As of 2015, there were 7.4 billion subscriptions worldwide, though the actual number of users is lower as many users own more than one mobile phone.[1] Mobile phones use electromagnetic radiation in the microwave range (450–3800 MHz and 24-80GHz in 5G mobile). Other digital wireless systems, such as data communication networks, produce similar radiation.
So what do you do when you need a wireless radiation emitting device but you want to limit the exposure to the people? Perhaps you use a wireless baby monitor, have a cordless phone base station, or you sleep with your cell phone on your nightstand. Maybe there is a wifi router right next to you at work or school. RadiaFence is the answer. It’s a free-standing, semi-transparent microwave barrier that you can put almost anywhere you need. It blocks most of the radiation emitted in one direction by “casting a shadow” (typically 70-90% reduction), while still allowing the wireless device to work. Like sitting in the shade on a sunny day. Portable, inexpensive, attractive. And it couldn’t be easier to use. If you like, you can add a decorative photo or warning sign to change the appearance. Available in 5 styles. Pick the sizes which meet your needs. Style may differ from images.

But the results of these two rat studies align with those of the biggest cell phone-radiation human study to date, INTERPHONE. The INTERPHONE study, published in 2011, was a coordinated effort by researchers at 16 institutions across 13 countries, and found that the heaviest mobile phone users were more likely to develop glioma—the same type of brain cancer the NTP study found in the male rats. “So there’s a concordance between the animal and human data,” Melnick says.
From the FCC website: "The FCC ID number is usually shown somewhere on the case of the phone or device. In many cases, you will have to remove the battery pack to find the number. Once you have the number proceed as follows. Go to the following Web address: Once you are there... Enter the FCC ID number (in two parts as indicated: 'Grantee Code' is comprised of the first three characters, the 'Equipment Product Code' is the remainder of the FCC ID). Then click on 'Start Search.' The grant of equipment authorization for this particular ID number should appear. The highest SAR values reported in the equipment certification test data are usually included in the comments section of the grant of equipment certification."
As a good thing to keep in mind, there are hundreds of thousands of people suffering from EHS in the world. Some of them live in forests, tents, and anywhere they can get away from society and EMFs because their symptoms are so bad when exposed. I have not heard one single EHS person claim that any of these types of devices work. They sure don’t for me. Most EHS sufferers are so desperate that they have researched and tried just about everything. Getting away from EMFs, or blocking them with material that does actually block them, like as a Faraday cage, is what works. And this is clearly what the scientific evidence shows. If these devices worked, that would be fabulous. One could spend $100 and be well, instead of having their life turned upside down, and in the worst cases as with some, committing suicide due to complete hopelessness and helplessness.. However, that is not the case. To further prove whether they work or not, one could wear one, and measure with a meter designed to measure EMF absorption in the body (they exist now). Has the manufacturer had this done, and is their evidence of it? An EHS person can tell without a meter anyway, but to prove to others, this might be a good idea.
Exposure to ionizing radiation, such as from x-rays, is known to increase the risk of cancer. However, although many studies have examined the potential health effects of non-ionizing radiation from radar, microwave ovens, cell phones, and other sources, there is currently no consistent evidence that non-ionizing radiation increases cancer risk in humans (2).