Nocturnal creature in tavern, currently with last of cocktail (4,3)
I believe the answer is:
barn owl
'nocturnal creature' is the definition.
(owls are nocturnal)
'tavern currently with last of cocktail' is the wordplay.
'tavern' becomes 'bar' (I've seen this before).
'currently' becomes 'now' (I've seen this in another clue).
'with' says to put letters next to each other.
'last of' suggests the final letters.
The final letter of 'cocktail' is 'l'.
'bar'+'now'+'l'='BARN OWL'
'in' acts as a link.
(Other definitions for barn owl that I've seen before include "Night-flying raptor" , "Mottled buff and white night bird" , "Flier" , "Nocturnal raptor" , "Nocturnal bird native to Britain" .)