Green’s Dictionary of Slang

1. a kept man, a pimp [abbr. cunt pensioner under cunt n.].

1835		‘My Shickster Molly’ in Knowing Chaunter 43: I care not for pals tho’ they call me C. P., / ’Cause my shickster Molly goes tailing for me.
1837		‘Sal Slobber’s Out A Tailing Gone’ in Ticklish Minstrel 27: Her C.P. walks behind her.
1890		Sporting Times 22 Feb. 2/4: Gonophs ... 40. Brewers ... 1. C.P.

2. (US) a rich (young) man, living on unearned income.

1913

H. Green ‘Troubles of Two Girls’ in S.F. Chron. 8 June 31/2: Say, a C.P. livin in the hotel with his rich mawr is terrible devoted to me.

3. (US black) a prostitute [abbr. criminal prostitution].

1930

Clara Burston ‘CP Blues’ 🎵 Every CP woman crazy ’bout her man, / She’ll work and steal for him, rob anybody she can.

4. (US, also c/p, CP) corporal punishment.

1987

personal ad, restroom Murray & Murrell Lang. Sadomasochism (1989) 55: BD, CP, SM, all kinds [ibid.] C/P, no heavy S/M (information provided by vice squad, Columbis police Dept).