Take care of appearance later (4,5)
I believe the answer is:
look after
'take care of' is the definition.
(synonyms)
'appearance later' is the wordplay.
'appearance' becomes 'look' (look is a kind of appearance).
'later' becomes 'after' (I've seen this before).
'look'+'after'='LOOK AFTER'
(Other definitions for look after that I've seen before include "Peer trying to find" , "mind" , "Tend" , "Supervise" , "Watch over" .)