Green’s Dictionary of Slang

strangle v.

SE in slang uses

In phrases

strangle the snake (v.) (also strangle it, strangle the stogie)

to masturbate.

[US]B. Rodgers Queens’ Vernacular 115: to masturbate [...] strangle the stogie (’70).
‘Thommo’ Dict. Aus. Swearing & Sex Sayings 126: STRANGLE IT — Sadistic male masturbation.
B. Healey ‘U4ME’ (poem) on Originality 🌐 Choking the chicken, strangling the snake / Stroking the totem, draining the lake.