Fear of radiation is highly overblown. Radiation is something that has always
existed in nature and something that you come into contact with every day. In
fact, radiation is something that life depends on; light and heat are
radiation. Even ultra-violet radiation is necessary for us in small amounts,
and this is the reason some people who are not albino have light-colored
skin; less pigment makes absorbing ultraviolet light for the purpose of
producing Vitamin D easier at the cost of more easily suffering negative
effects (sunburns, cancer) from too much exposure to it.
What matters is what kind of radiation it is, and how much.
There has been no strong evidence for any significant correlation between
cellular phones, or any wireless signal for that matter, and any form of
cancer. The only correlation seen is that men who keep cell phones in the
pockets of their trousers have a reduced sperm count. Ergo, if there is *any*
causal link, it is much too small to worry about. Avoiding cell phones for
this reason is like refusing to fly on planes because you're exposed to
radiation that way.
Refusing to go outside because you fear skin cancer would actually be more
sensible, because over-exposure to the sun has been documented to cause a
significantly greater risk of cancer, but even that is incredibly silly (and
the reason if obvious). But cell phones get a special place in people's minds
for some reason.