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1.
The sound a whore makes when she is sucking her ugly fat ass boyfriends dick, which sounds a whole lot like a baboon(hence baboon suck)
Did you hear heather last night? She was totally baboon sucking steven.
by charles norris June 20, 2008
 
2.
The most horrible noise that can occur when someone is getting a blowjob.
Did you see that cwb at the party last night?

Yeah she was totally giving that guy a baboon suck.
by Charles Norris IV January 03, 2010