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1.
Used to describe the runny, splattery, and gassy shits, usually experienced after a long night of consuming rum and cokes.
Wow, I’ve got a real bad case of rum bum today, I’ve gone shit three times in the last hour!
by venom363 October 19, 2006
 
2.
person who chases the sun and when he finds it sits in the shade with a drink of rum.
he quit school when he inherited and became a rumbum.
by a.b.eirce April 10, 2013