Big fish cooked on gas with milk around noon (4,6)

I believe the answer is:

king salmon

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'big fish' is the definition.
(king salmon is a type of large fish)

'cooked on gas with milk around noon' is the wordplay.
'cooked' indicates anagramming the letters (letters cooked into a new form).
'with' is a charade indicator (letters next to each other).
'around noon' becomes 'n' (I am not sure about the 'around' bit.).
'on'+'gas'='ongas'
'ongas' after 'milk' is 'milkongas'.
'milkongas' with letters rearranged gives 'kingsalmo'.
'kingsalmo'+'n'='KING-SALMON'

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I've seen this clue in The Times.

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