I agree that cancers can take a long time to show up. However, mobile phones have been used since the early 1980s, and humans have been exposed to that sort of radio spectrum since the second world war.
Lots of time, lots of people.
Personally I don't buy the "browbeaten" by the phone industry line. To be sure, some will be scared off, but many of the scientists I know would take that as evidence that there was something to find, and look just to spite them,
Fauve has a good, testable hypothesis. Most people are right handed, so you'd expect tumours to be far more on one side than the other. You'd also expect that since mobile phone use increases over time, that this effect varies along with it.
Simple statistics will show a link.
There is precedent for exactly this approach. In the US, they found that skin cancer was far more common on left arms than right. Apparently due to drivers having one arm out in the sun.
As for better safe than sure, that doesn't bear much scrutiny.
Sniff your new mobile phone.
Go on, really.
It smells of some solvent. Pretty much all solvents are carcinogenic. Almost all electronic equipment is cleaned this way.
Thus "better safe" would mean never letting your child near any new manufactured item made of plastic or metal.
The Sun is far and away the biggest cause of radiation cancers. There appears to be no "safe" level at all. We can measure skin damage surprisingly quickly even in British springtime.
Who here filters the water their kids drink ?
Have you looked at the legal levels of heavy metals, pesticides, and other scary things they are allowed to leave in ?
So-called "organic" foods contain just as much known naturally occurring carcinogens as as agribusiness products.
The "bitterness" of leaves is a mix of alkaloids that are evolved by leaves to screw with animals that eat them. It is not a coincidence that many drugs come from leaves, and that nearly all of them are directly poisonous.
You can't eliminate risk, and certainly induced hysteria from arts graduates at the BBC is not the way to manage risk.