What kind of cuts are they? Are you talking big chunks from climbing on rough rock, or actual cuts like what you'd get from a knife? If it's the latter, I'd suggest super glue. It was originally designed to stick wounds together, it won't stop it from hurting, and won't speed up the recovery rate, but will stop it from reopening, and dirt and stuff getting in it. To speed up the healing process, check out 'Active Recovery', any decent training web-site should have plenty of info for you.