How do different types of handlebar tape do in the rain? I'm planning to replace the handlebar tape (nonabsorbent, basic plastic tape with no padding) on my commuter bike, and I was looking to switch to cork tape.  However, I always park it outside and it occasionally rains, so I was wondering if the cork's absorbency would be a problem.  Also, what about leather and other tape types?
There is very little actual cork in most cork tapes. The plastic foam absorbs some water and may become slightly slippery, but it doesn't deteriorate or anything.