Green’s Dictionary of Slang

thousand pities n.

a woman’s breasts.

1960		J. Franklyn Dict. of Rhy. Sl. 128/2: thousand pities Titties Late 19C., obs.
1978		Maledicta II:1+2 (Summer/Winter) 118: Elsewhere Aylwin lists a few more ‘Vulgarities’: [...] words for breasts ([...] Jersey City, thousand pities [...]).