Green’s Dictionary of Slang

firkytoodle v.

[firk v. + SE toodle/tootle, to play upon]

to indulge in foreplay.

[UK]Sl. Dict. 162: Firkytoodle to cuddle or fondle.
[UK]Barrère & Leland Dict. of Sl., Jargon and Cant.
[UK]Farmer Vocabula Amatoria (1966) 13: Amuser 1. To excite the senses; ‘to firkytoodle’.