An acronym for "bank-in-a-box." Also known as an automated teller machine, or an ATM. The term BIB (pronounced same as those things that go around a baby's neck to keep food off them, not spelled out ) was created due to its curiously British sounding tone while being an entirely American creation from the Boston, MA area. (Though some may argue that this still basically does make it British.)
Some friends are walking into a bar. One turns to the other and says, "I need some cash. Hold up a second, I'm gonna hit up the BIB."