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1.
The act of holding a beverage without using your thumb. The resulting configuration of fingers closely resembles that of a sloths mitt.
Chris never uses his thumb to drink a beer. He rocks the sloth grip all night long.
by goony44 March 02, 2012
 
2.
The firm, annoying, unrelenting, grip of an infatuated woman's arm hooked around a guy's; locked at the elbow.
Friend A: Dang, who's that with the slothgrip on Slim?

Friend B: New girlfriend. She's been hanging there all night.
by jousts-94198 November 03, 2009