To give more alcohol to a person who is already very drunk. Table 14 is a bunch of college kids who just turned 21, so I'm sure they're looking to booze all night, but try not to overserve them, OK? You're giving him more beer? Don't you think he's been overserved as it is?
Given too many alcoholic drinks; very or overly drunk. You're giving him more beer? Don't you think he's a bit overserved as it is? As a bouncer, my job was to throw overserved dopes out and keep troublemakers from getting in.
mod. having to do with a drunken person in a bar; alcohol intoxicated. (Euphemistic.) The overserved guy there in the corner is going to be sick.