Green’s Dictionary of Slang

1. (drugs) to overdose on cocaine or amphetamine.

1967		Maurer & Vogel Narcotics and Narcotic Addiction (3rd edn).
1968		N. von Hoffman We are the People Our Parents Warned Us Against 93: When I get hold of a burn artist, he’s going to have pain [...] I make ’em take their own stuff, overamp (over dose) till they scream.
1971		E.E. Landy Underground Dict. (1972).
1990		J. Wambaugh Golden Orange (1991) 53: He woulda over-amped anyways. Overdosed, I mean.
1997		E. Little Another Day in Paradise 187: Fuck, kid, your eyes are gonna come out of your head. You overamped?

2. (US) in fig. use, to hype up, to overdo; usu. as overamped adj., overwrought, over-excited.

1979		M. Rossman New Age Blues 137: [...] preaching in his inimitable overamped style.
1982		R.M. Levine Bad Blood 76: He overamped on cars, he overamped on drugs, and when Marlene showed up he overamped on her.
1999		Forbes CLXIII 270: It’s an overamped culture’s halfhearted injunction to take a five-minute pit stop while steaming hell-for-leather through the world.
2004		C. Baty Chicago 163: The G-Man, as it is often called, avoids the overamped Cubs mania of the rest of the strip by playing classical music when the Cubs play at home.
2005		St Louis & Draffen Brazil 127: Overamped footballers singing their team’s anthem.