Delivery flier (5)

I believe the answer is:

stork

I believe this clue is a double definition.

'delivery' is the first definition.
(thesaurus)

'flier' is the second definition.
(stork is a kind of birdanimal)

(Other definitions for stork that I've seen before include "Mythological baby-bringer" , "Baby-carrying bird?" , "Large wading bird" , "The baby bird, so to speak" , "Long-legged bird" .)

I've seen this clue in the Evening Standard.

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