Green’s Dictionary of Slang

a tobacconist; thus snoutery, a tobacco wholesaler.

1956		‘Charles Raven’ Und. Nights 185: This particular night they had screwed a big wholesale snoutery at Enfield.
1970		G.F. Newman Sir, You Bastard 76: A couple having it off at a snouter’s [...] a tobacconist’s in Fulham Road.