Cellphones don't produce ionizing radiation, so they can't produce cancer by that route (radiation). Electromagnetic radiation? We've been surrounded by it since life began. Lightning, Earth's magnetic field (which protects us from harmful solar radiation, which can cause cancer), piezo-electricity, etc., etc. 4..2 billion years of it. If it was harmful at one time, we've evolved to not be affected by it.
The stuff you see (like the guy who had an MRI of a tumor) never shows any direct causation from cellphone radiation, and correlation is not causation. (I used two way radio, transmitting a lot more power than a cellphone, for decades before I had a skin cancer lesion removed. But I also smoked all that time - and the lesion was right where the smoke flowed up mu cheek from my mouth. Which is the causation, and which is the correlation?) If radio frequencies caused cancer, we'd have at least a few thousand NYC police officers in the hospital - the antenna is right at their face.
"Cellphones cause cancer" is a lot like anti-vaxxing. It makes headlines, it gives otherwise-lost-for-a-story reporters something to make a video about, it makes headlines - but at least there used to be a scientific reason that some vaccinations were dangerous (thimerisol, even though the type of mercury used is easily and quickly eliminated from the human body, hasn't been used in vaccines in 17 years). There's never been any evidence that radio frequency energy, at least at the levels produced by equipment you can carry, has ever produced any cancer. It produces heat. That's what diathermy is - RF applied to the part of the body that needs the deep heating it provides. In large enough amounts (like 600 Watts), it can produce burns. (I still carry a scar from having some ***** key a transmitter that was modified to not be able to be keyed while I was working on the antenna a few miles away.) But that's it, a burn that I forgot about half an hour later, and by a signal caused by a transmitter in a cabinet that was 6 feet high and 12"X24" - not something you'd carry in your pocket.
But people will keep repeating scare stories, and there's nothing we can do about it. (I carry my cellphone on my hip, have for years, and I'm not worrying about it. (And for those who don't use the metric system all the time, do you understand what 15mm is? It's 0.63 inches - a little over half an inch. Direct from the cellphone to your skin, not through some fabric that may have some metallic component (which would be a complete shield).
crt15z, you do realize that that Bluetooth earphone, right up tight against your ear, is also radiating RF energy right into your ear, right?
Chanchan, does the PHS still do blood tests every few weeks for people working with radioactive isotopes, or do they consider the dosimeters safe enough? (We used to get blood drawn every two weeks by those vampires when I was working with Radium D+E. Go through the vein, then pull back until the blood flowed - and you continued leaking out of the unplugged hole. Talk about shocky.)