After using tape gloves for crack climbing, I always have some tape gunk left over on my skin. While it doesn't hurt and goes away a few days of rigorous scrubbing, it doesn't look super great at the office on Monday morning.

How can I remove this gunk left on my skin?

I'm looking for something that's relatively painless, and won't hurt when it gets in cuts on the hand/fingers.

No, switching to rubber gloves is not on the table.