1. n. a police officer. (Derogatory. From cockroach.) A roach caught him while he was at work.
2. n. the butt end of a marijuana cigarette. (Drugs.) The cops found a roach on the bathroom floor.
3. n. an ugly girl or woman. (Derogatory. From cockroach.) Who was that roach you were with last night?
mod. hungover; exhausted. (Perhaps the notion of being down to the roach sense 2, and therefore, exhausted.) I’m roached. I feel lousy.