Care to peer past? (4,5)
I believe the answer is:
look after
'care' is the definition.
(thesaurus)
'peer past?' is the wordplay.
'peer' becomes 'look' (I've seen this before).
'past?' becomes 'after' (I've seen this in another clue).
'look'+'after'='LOOK AFTER'
'to' acts as a link.
(Other definitions for look after that I've seen before include "Take care of" , "mind" , "Watch over" , "nurse" , "Tend" .)