A hat, preferably a coonskin cap, worn by a short-haired passenger in a car in order to provide something for the driver to grab onto while he face fucks the passenger. The suck hat is often worn by the passenger in lieu of contributing gas money.
You want me to pick you up and drive you where for free? Don't forget your suck hat you cheap bastard!
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disguised version of cyka blyat... if you say "suck a" together it sounds like cyka, and if you say "blee hat" together it sounds like blyat.
blee is an acronym for a chinese kid named Brian/Byron/Bryan Lee