There are some decent climbs on Mount Lemmon. The texture of the granite ranges from water polished slickness to OMFG finger-eating ridiculousness.
The climbing, while abundant overall, is spread out in small not-so-concentrated areas. For my money, the best place to get out and climb is La Milagrossa Canyon. For the 5.11 leader this place offers non-brutalizing texture, decent route density, and an awesome canyon setting. This is also the spot for harder steeper climbing (5.12-5.13).
For more info hit up the free bouldering and sport guides for the Tucson area @
http://math.fullerton.edu/tmcmillen/
Oh, and make sure you get on Steve's Arete @ Windy Point. Pretty rad exposure for a 35' sport route.
haunted.