According to the American Cancer Society, “Radiation waves do not have enough energy to damage DNA directly,” so it is not known how they would be able to cause cancer. There have been some studies done, but nothing conclusive has been found. There is concern that some forms on non-ionizing radiation, such as RF radiation, might have other effects on cells that could lead to cancer.
It is important to note that if a human body absorbs substantial amounts of RF radiation, there can be burns and tissue damage from too much heat.