Chic couple of humans (neither male) all stopping short for a dog (9)

I believe the answer is:

chihuahua

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'for a dog' is the definition.
(Chihuahua is an example)

I don't understand the remainder of the clue.

(Other definitions for chihuahua that I've seen before include "Breed of small, short-haired dog" , "Mexican city, small dog" , "that's barking!" , "A canine" , "Mexican state -- breed of dog" .)

I've seen this clue in The Independent.

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