I used to have an iPhone (see Why I Got Rid of My Smartphone) and discovered that no case kept the radiation from emitting. I tried the Pong Case, the Otterbox, and an RF Safe Pouch. The pouch by far was the most effective. The Pong Case was better than the Otterbox, but still showed higher levels than I would like to see. You’ll see the various levels in the video below.
The FCC’s safety standards for cell phone radiation were based on studies conducted in the 1980s, These studies have long since been rendered obsolete by newer research. Yet for years the FCC refused to update or even review its standards. Instead, the federal agency simply sat on its hands while cell phones became ever more powerful and ubiquitous.
Nevertheless, a group of scientists got together in the mid-2000s, calling themselves the BioInitiative Working Group. This group, which largely consisted of wireless radiation researchers, has written a harsh reply as feedback to the reports claiming that posed no health risks.  The reply lists a wide range of health effects scientists at the European Commission have unfortunately either ignored or dismissed.