Green’s Dictionary of Slang

heat v.

[heat n. (1)]

(US) to excite sexually.

[UK]View of London & Westminster (2nd part) : [in a list of prostitutes] Miss Icey [Is Visited] By Lord Heatwell.
[US](con. 1920s) J.T. Farrell Judgement Day in Studs Lonigan (1936) 623: She’s a big moment who will heat you plenty [...] You ought to dance with her.