Green’s Dictionary of Slang

bungy adj.

also bongy, bungey
[bung n.2 (2)]

drunk.

[UK]Defoe Street Robberies Considered 30: Bongy, Drunk.
[US]B. Franklin ‘Drinkers Dictionary’ in Pennsylvania Gazette 6 Jan. in AS XII:2 90: They come to be well understood to signify plainly that A MAN IS DRUNK. [...] He’s Bungey.
[UK]W. Toldervy Hist. of the Two Orphans II 35: It was customary for that personage to be bungy.
[UK]H. Lemoine ‘Education’ in Attic Misc. 116: While in a rattler sit two blowings flash, / Salt tears fast streaming from each bungy eye.
[UK] ‘Sonnets for the Fancy’ in Egan Boxiana III 622: While in a rattle sit two blowens flash, / Salt tears fast streaming from each bungy eye.
Collier’s Wkly 17 Jan. 6/3: Since colonial days, approximately 400 terms to describe being drunk have been used in this country. Among the many no longer heard are bungey, nimptopsical, cherry-merry and ‘as stiff as a ringbolt.’.