Will cellphone cases that have magnets in them damage my cell phone?

No. I have been keeping my Motorola V3 in a leather case that's held tight by a magnet for over a year now and there's no prob whatsoever. I would say your phone's safe.Will cellphone cases that have magnets in them damage my cell phone?
No..Modern equipment is well shielded and designed to survive hostile environments.Will cellphone cases that have magnets in them damage my cell phone?
Yes it will the magnets are a different type of substance that can damage almost anything.