Green’s Dictionary of Slang

c.d. n.

also C/D, CD

(US) corporal discipline, i.e. corporal punishment.

[US]Murray & Murrell Lang. Sadomasochism 50: CD [...] As in ‘Have complete line of equipment for DC’ (information supplied by vice squad, Columbus Police Dept) [ibid.] ‘Cum enjoy torturous C/D in my chamber.