I think it's been about 30 years or more since I last flew an early 182--I think it was a 57 or thereabouts, straight tail, narrow fuselage, tall gear, etc. Nice airplane. I don't recall anything different about the way its trim felt vs. newer models. If it were mine, knowing what a klutz I am as a mechanic, I'd be telling my IA about how it feels, solicit his advice, then have him do whatever he recommends. From what I do know about Cessna trim systems, I can imagine his advice ranging from simple lubing all the way up to replacing pieces and parts and cables and such, beginning at the trim wheel. You could have binding cables, binding cable guides, bad bearings, misrigging, and on and on.
One of the Skylanes my IA has had somewhat bitter experience with had a stiff control wheel in roll, i.e., the ailerons. Flyable, but unpleasant. An examination in the right wing showed that someone had misrouted the cable through the wrong hole in a rib, so that it was rubbing on the rib and had cut halfway through to the next hole.
Like EZ implied, it's not like the tail of your airplane is anything important!

Cary