I think that the notion of cell phones causing cancer is bunk for two reasons, but I recognize that there is a third possibility. First, the reasons why I think cell phones don't cause cancer:
(1) Physics. Microwaves are non-ionizing radiation, so cell phones don't directly lead to strand breakage in your DNA or protein adducts.
(2) Epidemiology. The body of evidence, on balance, does not support the notion that exposure to cell phones increases your risk for cancer. We are getting hugely exposed to this radiation, and if it had an effect, you'd strongly expect to see it. Perhaps we're a few decades away from being able to appreciate any risk since brain tumors more commonly affect those later on in life, but the epidemiology doesn't support the connection at this time.
There. I don't think that cell phones cause cancer, and I have given 2 reasons why I believe that. However, I am willing to acknowledge that biology is nothing if not interesting.
For example, imagine an enzyme that was designed to (a) receive microwave radiation, putting it into a slightly different conformation, which then (b) hydrolyzes ATP in order to (c) cut DNA. Why would this enzyme exist? Who knows; I don't think it does exist. But I am saying that physics cannot tell us that "low energy thing X" cannot do "high energy thing Y." It only tells us that the connection, if any, must be mediated by a third party. In other words, sure, microwaves cannot cause strand breakage, but they could be part of a signalling cascade that ultimately results in strand breakage.
Keep in mind that I don't believe in any of this garbage, but I do believe that it's within the realm of possibility and therefore we actually do still need epidemiology and molecular biology.