Similar to a handjob, a sleevejob is when you rub someone's genitals with some kind of cloth or fabric between your hand and their privates, like doing it with long sleeves, hence, a sleevejob. Because of the friction from the cloth, the resulting orgasm can be very intense.
"How'd you get in here?"
"Oh, I have my ways."
"Yeah, I'll bet you gave the guard a sleevejob!"
The Firesign Theatre, "Don't Crush That Dwarf, Hand Me The Pliers"