A drink with a Gateshead girl (5)
I believe the answer is:
glass
'a drink' is the definition.
(thesaurus)
'with a gateshead girl' is the wordplay.
'with' is a charade indicator (letters next to each other).
'a gateshead' becomes 'g' (head letter of 'gates').
'girl' becomes 'lass' (lass is a kind of girl**).
'g' next to 'lass' is 'GLASS'.
(Other definitions for glass that I've seen before include "Perhaps schooner" , "Calm lake may be compared to this" , "Eg, tumbler" , "Greenhouse material" , "barometer" .)