Look after biography for former politician perhaps (4,4)
I believe the answer is:
life peer
'former politician perhaps' is the definition.
I can't judge whether this definition defines the answer.
'look after biography' is the wordplay.
'look' becomes 'peer' (to peer at something is to look at it).
'after' is a charade indicator (letters next to each other).
'biography' becomes 'life' (synonyms).
'peer' put after 'life' is 'LIFE PEER'.
'for' is the link.
Can you help me to learn more?
(Other definitions for life peer that I've seen before include "One whose title lapses at death" , "House-sitter" , "House of Lords member whose title lapses at death" , "House of Lords member whose title cannot be inherited" , "House of Lords appointee" .)