Green’s Dictionary of Slang

1. (US ) a prostitute.

1842		Whip & Satirist of NY & Brooklyn (NY) 30 Apr. n.p.: There is a number of rum-holes around this place where the clucker’s travel to get their toddy [...] The best-looking and cleanest of the prostitutes [...] generally visit O’Neils.
1861		N.E. Police Gaz. (Boston, MA) 5 Oct. 5/3: The cluckers of old Marm Lane’s den [...] A more disgusting set of prostitutes cannot be found.

2. (US black) a (young) woman.

1944

D. Burley N.Y. Amsterdam News 13 May 6B: All these fine cluckers tracking up the turf.

3. see cluck n.⁴