Green’s Dictionary of Slang

working the cuts phr.

[work v. (10) +SE cut, a passage, a route]

used of a prostitute who works on the street rather than in a brothel.

[US]Maledicta IX 150: The original argot of prostitution includes some words and phrases which have gained wider currency and some which have not […] working the cuts (on the street rather than working out of a house).