The most common and most likely answer to this crossword clue is the 9 letter word NARRATIVE
I've seen this crossword clue in Independent
N
A
R
R
A
T
I
V
E
More clues leading to the result NARRATIVE
- A bishop immersed in local history?
- Royal traitor written into unsophisticated story
- Account local person presented about beheaded wife of Henry VIII
- Musical rushed without Romeo’s back story
- Deserter stuck in ravine confusedly recounting events
- River rodent in unsophisticated story
- Resident entertaining a bishop's relation
- Ahead of time, the writer’s brought up Scottish island’s story
- A pair of Republicans featuring in local story
- Royal artist involved in domestic plot
Buddy explains!

The straight part
We know that "story" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case story = narrative.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.
What does NARRATIVE mean?
NARRATIVE noun- The systematic recitation of an event or series of events.
- That which is narrated.
- A representation of an event or story.
- (creative writing) A manner of conveying a story, fictional or otherwise, in a body of work.
- Telling a story.
- Overly talkative; garrulous.
- Of or relating to narration.