Peeve, put out (3)
I believe the answer is:
irk
This clue is a double definition.
'peeve' is the first definition.
(I've seen this in another clue)
'put out' is the second definition.
(irk can mean to annoy or put out)
(Other definitions for irk that I've seen before include "Annoy, bother" , "Annoy in quirky way" , "cause annoyance" , "Gall" , "Get at" .)