Fish, sort of cut on top, to have with wine (9)

I believe the answer is:

redmullet

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'fish sort of cut on top' is the definition.
I know nothing about this answer so I can't tell whether this works.

'have with wine' is the wordplay.
'have' becomes 'mullet' (I am not sure about this - if you are sure you should believe this answer much more).
'with' is a charade indicator (letters next to each other).
'wine' becomes 'red wine' (red is a type of wine).
'mullet' put after 'red' is 'REDMULLET'.

'to' is the link.

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I've seen this clue in The Times.

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