Green’s Dictionary of Slang

dry shave v.1

[? idea of being ‘cheated’ of the water required for a proper shave]

to deceive, to defraud, to rob.

[UK]Marston Dutch Curtezan III iv: He was dry shaved this morning.
[UK]Davies of Hereford Scourge of Folly 3: In State-craft he was still his betters brauing, Till Kate with her craft gaue him a dry-shauing.
[US]Eve. Post (NY) 10 Dec. 2/2: But the Bucktails a Barber have put in his place, / To dry-shave us all.
[UK]J. Manchon Le Slang.