Drink bringing Bronx cheers, by the sound of it? (5)
I believe the answer is:
booze
'drink' is the definition.
(I know that drink can be written as booze)
'bronx cheers by the sound of it?' is the wordplay.
'bronx cheers' becomes 'boos' ('boo' can be a synonym of 'bronx cheer').
'by the sound of it?' shows a homophone (sound like).
'boos' sounds like 'BOOZE'.
'bringing' is the link.
(Other definitions for booze that I've seen before include "Alcohol (sl.)" , "intoxicating stuff" , "sauce" , "Consume alcohol" , "Drink too much (colloq.)" .)