Tiny amounts of cell heating/cooling have been found to change the cell differentiation mechanism. That's the reason ultrasound energies are limited during pregnancy and it's recommended not to do too many ultrasounds.
I don't see why microwave heating wouldn't cause the same effect.
Afaik the transmission energy of a cell phone is limited to a maximum of 1 or 2 Watts (depending on which frequency it operates on). This power is a maximum that will only be used if the reception is bad.
In the wavie scene (people who are paranoid about radio waves controlling them) shielding those devices is a typical approach — this is also where the meme of the tinfoil hat comes from. Ironically that shielding makes your cellphone operate with the maximum transmission power at all times.
I don't see why microwave heating wouldn't cause the same effect.