A term used when (usually) an older person is asking a younger bugger to get a beer for them from the fridge or esky. The individual retrieving the beer usually is running quite fast and may be small, just like a rabbit.

Literally everyone, ever. Including the writer of this definition.

To run the rabbit is to use a ticket or pass to enter a restricted area, and then give that pass through a fence or gate to a friend who then uses the same pass to enter the restricted area.