Green’s Dictionary of Slang

catting n.1

[orig. cat n.1 (1); strengthened in 20C by SE tomcat, a stereotypically libidinous animal; obs. in the UK by the early 19C; 20C+ use is US black]

looking for female company and/or sexual conquests.

[UK]New Canting Dict. n.p.: catting [...] Whoring.
[UK]Bailey Universal Etym. Eng. Dict. [as cit. 1725].
[US]C. Himes Pinktoes (1989) 19: Still cats keep right on catting.
[US]Jazz Rev. 7: Davis, the featured tenor soloist at the time, was ‘catting’ with a young lady at ringside.