Snapper caught row of celebrities, first of all (4)

I believe the answer is:

croc

'snapper' is the definition.
(an animal which 'snaps')

'caught row of celebrities first of all' is the wordplay.
'first of all' says to take the initial letters.
The initial letters of 'caught row of celebrities' is 'CROC'.

(Other definitions for croc that I've seen before include "Dangerous reptile" , "Small animal" , "Snapper" , "Predatory reptile (abbr)" , "that might be sitting on your foot" .)

I've seen this clue in The Times.

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