It's probably more likely that it'll turn out to be the same as the old scares about microwave ovens and cellphone radiation causing cancer, except there are now a lot more $$$ to be made in various industries from exploiting anti-science paranoia.
> Some recent studies have found an association between mobile phone use and certain kinds of brain and salivary gland tumors. Lennart Hardell and other authors of a 2009 meta-analysis of 11 studies from peer-reviewed journals concluded that cell phone usage for at least ten years "approximately doubles the risk of being diagnosed with a brain tumor on the same ('ipsilateral') side of the head as that preferred for cell phone use".
Incidentally, this item was just here yesterday: https://news.ycombinator.com/item?id=37160651