Green’s Dictionary of Slang

gaying instrument n.

[gay adj. (1)/gay adj. (2) + SE instrument]

the penis.

[UK]Lex. Balatronicum.
[UK]Farmer & Henley Sl. and Its Analogues.
[UK]Farmer Vocabula Amatoria (1966) 16: Arc-boutant, m. The penis; ‘the gaying instrument’.