New remit for headgear (5)
I believe the answer is:
mitre
'for headgear' is the definition.
(mitre is a kind of headgear)
'new remit' is the wordplay.
'new' indicates an anagram.
'remit' with letters rearranged gives 'MITRE'.
(Other definitions for mitre that I've seen before include "One identifies bishop" , "Corner joint - bishop's headdress" , "Episcopal headdress" , "Corner joint - bishop's hat" , "Timer for a bishop." .)