In reply to Kid Spatula:
Do you need to climb when every glorious inch of the Cuillin ridge scramble goes in the wet? Just have some damp days on the hill, test your nav and savour the sense of isolation on the ridge with no perspective.
If you must climb, then Trotternish peninsular is the driest place on the island and MUCH drier than pretty much everywhere else. However, the sea cliffs really only get going at HVS although you could go bouldering on Carn Liath north of the Storr. A most beautiful day's sport.
Neist is best at VS and can definitely be dry when the hills are wet. Financial Sector is probably the best place to start although Sonnemara just left of the steps (looking down) has some good routes at gritstone HS (actually graded VS). Nice soft touch ticks there, while the aforementioned Financial is Sector is bang on the grade.
Don't forget the Forcan ridge just east of Skye. Often much drier there too and a wonderful hill day with some excitement.