Two reasons why I wear gloves in my shop:

1) I switch back and forth between wood and metal and while it is easy
to wipe of grease from metal, it's not so easy to get it off wood.

2) I don't care if my hands are greasy, but my wife would rather my
hands be clean.

3) Even when woodworking, I tend to use gloves as polyurethane glues
turn skin black.

Recently, I started using protective hand creams and find them to work
well.