Our damned cat likes to sit in our laps and be petted. I wouldn't mind, but he chooses one small spot on your arm to lick continuously while you pet him.
After a while, it feels like he's stripping flesh from bone.
My cat liked to get in bed and then lick my armpit. It felt awful but I let him do it as long as I could stand it because it was the happiest I ever saw him.
When I was little, we had a cat who would "nurse" from the blanket when I tried to sleep. She would nuzzle up against my side, start sucking loose fuzz on the blanket and knead my side with her claws, which is what always woke me up.