Green’s Dictionary of Slang

trollied adj.

(N.Z./UK) suffering from an excess of drink and/or drugs.

[NZ] McGill Reed Dict. of N.Z. Sl.
[UK]R. Milward Ten Storey Love Song 200: [D]isgusted that anyone as trolleyed as Alan could even consider putting his life [...] at risk driving a fucking huge Leyland cab.