Green’s Dictionary of Slang

boat and oar n.

also broken oar
[rhy. sl. boat and oar = whore]

a prostitute.

[US]A.J. Pollock Und. Speaks 10/2: Boat and oar, a whore. [Ibid.] 14/1: Broken oar, a whore.
[US]D. Maurer ‘Prostitutes and Criminal Argots’ in Lang. Und. (1981) 117/1: bladder. An unattractive prostitute. Also beetle, blister, boat-and-oar [...], each expressing varying degrees of unattractiveness.
[UK]J. Franklyn Dict. of Rhy. Sl.
[US](con. 1950-1960) R.A. Freeman Dict. Inmate Sl. (Walla Walla, WA) 14: Boat-’n-oar – whore.
[US]Maledicta II:1+2 (Summer/Winter) 118: Elsewhere Aylwin lists a few more ‘Vulgarities’: [...] queer (Brighton Pier, though often in the sense of ‘peculiar’ rather than what Aylwin calls a ‘puff’, collar and cuff).
[UK]B. Dark Dirty Cockney Rhy. Sl. 25: Don’t listen to her – she’s a lying boat and oar!