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1.
Short for "Be Back In A Few"
Yo, bbiaf, going to whack it
by Riddick July 09, 2003
 
2.
Alternately "be back in a few" or "be back in a flash"

Pretty much like brb, but longer and harder to type, ergo just as pointless
"Ah, time for dinner, bbiaf"
by mikeejimbo July 17, 2006