Green’s Dictionary of Slang

bung adj.1

[fig. use of bung v.1 (1)]

(orig. UK Und.) drunk.

[UK]Ordinary of Newgate Account 31 July 🌐 We espied a § Boozey-Cock very bung, making Water against a Post [...] § Drunken Man.
[UK]D. Gunston (ed.) Jemmy Twitcher’s Jests 72: She caud for muckle beer and brandy and gard me bung as a swobe [sic].
[UK]Partridge DSUE (1984) 157/1: C.19–20.