I've used mayonnaise as a hand cleaner - it's greasy and works pretty much like those industrial hand cleaners but without all the nasty volatile organics that are bad for your liver and your immune system. Of course, just as with those, you do need to wash your hands to get rid of the greasing feeling.

Nitrile gloves are a great idea, but sometimes you need the dexterity that naked fingers provide.

Remember to not put your oily rags in the trash - it's a recipe for spontaneous combustion (i.e., a fire!).