Slang, vulgar, for vagina. I suppose the common use of the word for the thing that hold's ones beer bottle came from the idea of slipping it into a vagina
A coozy, aka coozie, is an insulated holder for keeping drinks cool (typically beer or soda). Usually made of neophrene, styrophome, or other types of polymers/rubbers, a coozy can typically be found in the south, often adorned by Nascar numbers, funny sayings, or advertisers.
Insulated sleeve usually comprised of foam rubber used to both enhance the grip of your beer bottle or can as well as keep the beer cold and your hand warm.
Brooling's hands being extremely sensitive to cold required him to use a coozy everytime he drank a beer