actually- it does not flicker on and off, but rather flickers between bright and dimmer.

I have the same problem.
I just installed a hunter ceiling fan a couple of weeks ago. I installed a hunter remote for it. The lights fliker now and then. I was told it could be from another remote unit. The lights flicker in a room that has bluetooth signal for the computer and cell phone. I don't know if this would cause that or not.

Since the remote is somewhat like a garage door opener remote in the sense that the code setting can be changed, I may change the hand held remote AND the unit remote (near the fan wiring) to another code. Hopefully this will correct the problem.