Extremely low MFs may not have a direct effect on our DNA, but couple it with chemical, radiation, UV light or free radicals and it can be pretty bad stuff...
"Tumor initiators such as chemical carcinogens, radiation, UV light, or free radicals cause direct damage to DNA. The concepts of initiation, promotion, and sequential accumulation of mutations prompt the consideration of two major pathways whereby an environmental agent such as EMF might cause cancer [22]. Many researches showed the molecular mechanism of effects of magnetic field on the biological matter. EMF induces oxidative stress and proliferation through cytosolic Ca2+ influx in human leukemia cells and induces mutation by high-density at DNA synthesis phase in human melanoma cell line [23, 24]. Magnetic field also induces DNA strand breaks in rat brain cells [25]. Other reports showed that ELF fields alone do not damage chromosomal DNA, and direct leukaemogenic activity therefore, seems, unlikely [26]. Although the energy associated with environmental EMFs is too low to cause direct changes to the structure of DNA, EMFs might affect the production of agents such as free radicals, which themselves can react with DNA, or other agents that cause chromosomal damage, instigating translocation by inducing DNA breaks or formation of unnatural DNA structures [22]."
Source
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4491062/