Bird allowed around pub (6)
I believe the answer is:
linnet
'bird' is the definition.
(linnet is a kind of bird)
'allowed around pub' is the wordplay.
'allowed' becomes 'let' (to let is to allow or permit).
'around' means one lot of letters goes inside another.
'pub' becomes 'inn' (an inn is a type of pub).
'let' going around 'inn' is 'LINNET'.
(Other definitions for linnet that I've seen before include "Singer" , "Songbird (to 6 18)" , "Winger" , "Type of finch" , "Common finch" .)