Manage to get a cloak (4)
I believe the answer is:
cope
I believe this clue is a triple definition!
'manage' is the first definition.
(manage can mean to cope or do well)
'to get' is the second definition.
(thesaurus)
'a cloak' is the third definition.
(cloak worn by a bishop)
(Other definitions for cope that I've seen before include "Rise to the occasion" , "Clerical vestment; to deal (with)" , "loser of Prestonpans" , "Deal well with difficulties" , "Deal with, manage successfully" .)