The most common and most likely answer to this crossword clue is the 4 plus 5 letter word LIFE STORY
I've seen this crossword clue in Financial Times
L
I
F
E
S
T
O
R
Y
More clues leading to the result LIFE STORY
- Biography of Fry mixed up with Eliot's
- Forty lies ruined autobiography
- Biography based on deceit involving one fellow’s account
- Long sentence’s right in biography
- Biographical account of untruths enveloping female politician
- Fibs about France’s No.1 politician in biography
- Falsehoods overshadowing female politician’s account
Buddy explains!

The straight part
We know that "account" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case account = life story.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.