Story of right rotter invading innocent (9)
I believe the answer is:
narrative
'story' is the definition.
('narrative' can be a synonym of 'story')
'right rotter invading innocent' is the wordplay.
'right' becomes 'r' (common abbreviation).
'rotter' becomes 'rat' ('rat' can be a synonym of 'rotter').
'invading' indicates putting letters inside.
'innocent' becomes 'naive' ('naive' can be similar in meaning to 'innocent').
'r'+'rat'='rrat'
'rrat' going inside 'naive' is 'NARRATIVE'.
'of' is the link.
(Other definitions for narrative that I've seen before include "Account of connected events, a story" , "Popeye's vegetable" , "Account describing events" , "Storyline" , "Story line" .)