This kind of thing has indeed been being measured and studied for ages. Some of it with plants... if you include the power line debate which is where all this electric fields cause cancer/headaches/unhappy plants thing began it's been being studied since the early 60s with a heck of a lot of research money thrown at it. Then there were mobile phones of course...
The only health impact coming from non-ionizing radiation that I'm aware of seems to be a weak correlation with childhood leukaemia. Whether that is an artifact, or real, I don't know.