Green’s Dictionary of Slang

1. drunk.

1809		G. Andrewes Dict. Sl. and Cant.
1821		Flash Dict.
1835		G. Kent Modern Flash Dict.
1848		Flash Dict. in Sinks of London Laid Open.
1858		A. Mayhew Paved with Gold 268: One coarse-featured fellow, who was nearly ‘bung-eyed’ over his beer (as they call being drunk), was a stealer of boxes from the backs of carriages.

2. cross-eyed.

1937–84

Partridge DSUE (1984) 157/2: from ca. 1960.