I've been a few times up in the Troodos, but didn't get much walking done, apart from around the Roman remains. We did end up driving on what looked like a ski slope, so beware the road signs.
I believe the Avakas Gorge on the Akamas peninsula is good. Much of the walking I did reminded me of the Med in general - lots of scrubby limestone.
Lots to see and do though - have a good trip.