With headband, Jane's confused Irish dog (7)

I believe the answer is:

basenji

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'dog' is the definition.
(basenji is a kind of dog)

I don't understand the rest of the clue.

(Other definitions for basenji that I've seen before include "Breed of African hunting dog that rarely barks" , "Smallish hunting dog" , "Dog unable to bark" , "Barkless dog" , "Small hunting dog" .)

I've seen this clue in the Sydney Morning Herald.

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