Green’s Dictionary of Slang

lust dog n.

[dog n.2 (3c)]

(US campus) a male term for an allegedly promiscuous woman.

[US]G. Underwood ‘Razorback Sl.’ in AS L:1/2 62: lust dog n Passionate female, usually of low reputation.
[US]H. Rawson Dict. of Invective (1991) 44: Instead they resorted to such euphemisms as doggess, dog’s lady, lady dog, lust dog, puppy’s mama (or mother), she dog, and slut pup.