Chopped parsley smothering minute fish (8)

I believe the answer is:
lampreys
'chopped parsley smothering minute fish' is the definition.
I can't tell whether this definition defines the answer.
'chopped parsley smothering minute' is the wordplay.
'chopped' indicates anagramming the letters (letters chopped or smashed up).
'smothering' means one lot of letters goes inside another.
'minute' becomes 'm' (abbreviation).
'parsley' anagrammed gives 'lapreys'.
'lapreys' placed around 'm' is 'LAMPREYS'.
Can you help me to learn more?
I've seen this clue in The Sunday Times and The Times.
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