Green’s Dictionary of Slang

(Aus.) stealing goods or trading on the black market, esp. stolen military supplies thus wogging n.

1942		Pinaroo & Border Times (SA) 19 Nov. 3/3: The search goes on from day to day, morning, noon and night, / But it seems the old Wop’s done it in — the watch has gone alright. / Perhaps some joker ‘wogged’ it and went out on the shicker.
1947		Advertiser (Adelaide) 8 Feb. 10/1: In this article, a correspondent takes us behind the scenes of ‘wogging,’ as black marketing is known among the occupation troops in Japan.
1954		(con. 1940s) T.A.G. Hungerford Sowers of the Wind 133: What about the blokes [...] Don’t you reckon that all this wogging and whoring’ll hurt them? They’re only youngsters, you know. [Ibid.] 172: You won’t help it by catting around [...] nor by wogging every damned thing you can lay your hands on.