There is an impressive-looking group of credentials behind a petition[1] to halt 5G rollouts in the EU until more research can be done. The science just isn't settled yet, partly because doing a rigorous controlled trial in real world conditions is just about impossible.
Keep in mind it's not just about cancer, it's any health effect of any kind. The nature of the shorter wavelengths of 5G means that more transmit power and/or more transmitters to cover the same area will be required, so we can't necessarily take what we know about the current bands and assume these are equally safe. Too many confounding factors.
There's an excellent writeup from Vox on the state of the science. It's a mess, to put it lightly. [2]
[1]: https://drive.google.com/file/d/0B14R6QNkmaXuelFrNWRQcThNV0U...
[2]: https://www.vox.com/2018/7/16/17067214/cellphone-cancer-5g-e...