When someone is finally resting or accepting a situation, after they've been fighting it. (Based on their use on hospital patients, who may be fighting to pull out IVs or foleys, and so they put "big mittens" on their hands so they can't hurt themselves, and they finally fall asleep.")
"Is your friend still suing their landlord to get their deposit back?" "No, she's decided to let it go. She's sleeping with the big mittens on."
The process of giving a female oral sex yet soon finding out that she has gone a handfull of days without shaving her genital area. Thus, the feeling as though you have licked a mitten.
Another way of saying that you are giving someone the middle finger. When you wear mittens you may conveniently flip the bird at someone without their knowledge. An actual mitten or a picture of a mitten will also convey this.
1. "Why were you waving at that cop?"
"I wasn't waving, I was giving him the mitten."