Story born yesterday about rook and rodent (9)
I believe the answer is:
narrative
'story' is the definition.
(synonyms)
'born yesterday about rook and rodent' is the wordplay.
'born yesterday' becomes 'naive' (I've seen this in another clue).
'about' is an insertion indicator.
'rook' becomes 'R' (chess abbreviation).
'and' is a charade indicator (letters next to each other).
'rodent' becomes 'rat' (rat is a kind of rodent).
'r'+'rat'='rrat'
'naive' enclosing 'rrat' is 'NARRATIVE'.
(Other definitions for narrative that I've seen before include "Chronicle" , "Storyline" , "relation" , "Spoken account; story" , "Story line" .)