It most cases this may refer to a pair of balls on someone's chin. In other cases this may mean that there is dick AND balls on your chin dick in your mouth, or perhaps maybe - balls in your mouth. It really depends on which side of the the Greenwich Meridian you hear that expression. Really really common thing to hear in South Jamaica while sucking your own dick to pay the rent.
Example conversation in Vietnam:

Man 1 : - Are you going to eat that dog fries ?
Man 2: - No, thank you, I'd rather have my balls on your chin.
Man 1: - I'd rather be dangerously retarded than be your friend.
by Kurzavas November 24, 2013
Get the Balls On Your Chin mug.
Used for relieving excruciating pain after experiencing a catastrophic shin-to-coffee-table injury or other similar anatomical disasters. Usually hollered very loud.
OW OW OW Shit Fuck Damn Piss Hell Balls On Chin.
Who put that table there?
by imahottentot June 20, 2010
Get the Shit Fuck Damn Piss Hell Balls On Chin mug.
BALL CHIN-again...... when a mans balls bounce off ur chin AGAIN AND AGAIN AND .....again.
dennis Wants a ball chin-again....where his balls bounce off my chin again and again
by The ball buffer March 31, 2020
Get the BALL CHIN-again mug.