Non-ionizing radiation causes heating. E.g., looking into a 2.4 GHz source (microwave) of enough power cooks your eyeballs inside-out, kinda like boiling eggs. It's because they absorb a lot, but have negligible cooling due to a lack of blood circulation inside of them.

Lower powers don't seem to have significant effects, and if so, likely more of a metabolic nature than of a cancer nature. Getting an inflammation seems possible, but cancer-inducing powers cause thermal sensations/damage before you get cancer.