Check out with some naivety (3)

I believe the answer is:

vet

'check out' is the definition.
(to vet is to perform checks)

'with some naivety' is the wordplay.
'with' indicates a hidden word.
'VET' is hidden in the letters of 'some naivety'.

(Other definitions for vet that I've seen before include "'Examine this doctor, in short (3)'" , "Experienced" , "Old soldier (inf.)" , "A small animal doctor" , "Dog doc?" .)

I've seen this clue in the Evening Standard.

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