This phrase means "let me puff half of your cigarette." If someone doesn't have a cigarette, and you are smoking one, then they will request you to buzz them down, meaning let them puff the leftover half of your cigarette after you are done with it.
Bob : Yo, you got a bogie?
Pablo: This the only one I got, man.
Bob: Buzz me down, son!
Pablo: aight, wait up
by Harris666 March 29, 2012
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