Green’s Dictionary of Slang

dig a grave v.

[rhy. sl.]

(Aus.) to have a shave.

1983		R. Aven-Bray Ridgey-Didge Oz Jack Lang 25: Digging The Grave Shave.
1992		R. Puxley Cockney Rabbit.
2002		Pete’s Aussie Sl. Home Page 🌐 dig a grave: have a shave.