Biography based on deceit involving one fellow's account (4,5)
I believe the answer is:
life story
'biography' is the definition.
(synonyms)
'deceit involving one fellow's account' is the wordplay.
'deceit' becomes 'lie' (I've seen this in other clues).
'involving' means one lot of letters goes inside another.
'one fellow' becomes 'f' (abbreviation - of a society etc.).
'account' becomes 'story' (story is a kind of account).
'lie' enclosing 'f' is 'life'.
'life'+'story'='LIFE STORY'
'based on' is the link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for life story that I've seen before include "Biography" , "Autobiography" .)