1. Literally, to insert a cork into something, such as the opening of a bottle. A noun or pronoun can be used between "cork" and "up." There's still some wine in the bottle, so should we cork it up?
2. To become quiet. Typically used as an imperative. In this usage, the phrase is often "cork it up." Cork it up, kids—all the screaming is giving me a headache!
Drunk. Do you remember last night at the bar at all? You were really corked up.
corked (up)and corky
mod. alcohol intoxicated. You’d be corked up, too, if you’d drunk as much as I have. Willie’s acting sort of corky.