Bird in bad weather circling area (8)
I believe the answer is:
wheatear
'bird' is the definition.
(wheatear is a kind of bird)
'bad weather circling area' is the wordplay.
'bad' is an anagram indicator.
'circling' means one lot of letters goes inside another (circling can mean going around or containing).
'area' becomes 'a' (maths abbreviation).
'weather' anagrammed gives 'whetear'.
'whetear' placed around 'a' is 'WHEATEAR'.
'in' is the link.
(Other definitions for wheatear that I've seen before include "Migrant's passion" , "Songbird" , "bird" , "singer" .)