Get Naomi to leave mediation or change one's story? (4)

I believe the answer is:

edit

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'change one's story?' is the definition.
'edit' can be an answer for 'change' (editing is a kind of changing). I am unsure of the 'one's story?' bit.

I don't understand the rest of the clue.

Can you help me to learn more?

(Other definitions for edit that I've seen before include "Manage a newspaper" , "doctor" , "Prepare text for publication" , "Make changes to (text)" , "What our boss does" .)

I've seen this clue in the Irish Times (Crosaire) and the Irish Times.

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