This is an old school word referring to grabbing a tittie, or rubbing up against one. This word is used in elementary school before knowing what pussy was, we would say did you get some tittie from her?
When i was young, i used to " get some tittie " from all the girls. She gave you some tittie? Well she needs to give me some tittie too. A few different ways of getting tittie are rubbing up against one and saying its an accident lol. Asking her to give you some tittie would be her letting you touch one. And if you were really the man back then if you got to suck on one.