1858, "A Scarcity of Jurors—Cangemi's Third Trial," New York Times, 8 Jun., p. 4:Gen. G. had been on a long drunk from July last until Christmas.
A drunken state.
2006, Patrick McCabe, Winterwood, Bloomsbury 2007, p. 10:Here – help yourself to another drop there, Redmond! By the time we've got a good drunk on us there'll be more crack in this valley than the night I pissed on the electric fence!