Beastly European's left dry (4)
I believe the answer is:
brut
'dry' is the definition.
(type of wine)
'beastly european's left' is the wordplay.
'beastly' becomes 'brute' (brute can mean beastly or brutish).
'european' becomes 'E' (abbreviation e.g. EU).
'left' suggests deleting specific letters (some letters have left).
'brute' with 'e' taken out is 'BRUT'.
(Other definitions for brut that I've seen before include "Unsweetened; very dry" , "(Of sparkling wine) extremely dry" , "Dry (of champagne)" , "one type of champagne" , "Of champagne, not sweet" .)