With headband, Jane's confused Irish dog (7)
I believe the answer is:
basenji
'dog' is the definition.
(basenji is a kind of dog)
I don't understand the rest of the clue.
Can you help me to learn more?
(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" .)