Have such pets and always be anxious? (7)

I believe the answer is:

kittens

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'have such pets' is the definition.
(I've seen this before)

I cannot understand how the remainder of the clue works.

(Other definitions for kittens that I've seen before include "Feline youngsters" , "Have such pets" , "Young rabbits" , "Young felines" , "Feline young" .)

I've seen this clue in The Times.

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