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Catchy urban-scene lingo used commonly in the gay lesbian community to denote the act of licking someone's bare asshole.

Similar to the term "rim-job" but reserved exclusively for the homosexual community.
"that chick is sexy, I would totally give her a brim skim"

"That man has a well toned ass, I would like to give it a brim skim If he'd allow me to."
by Bender & Flexo October 12, 2011