Endless unwanted bugs (7)
I believe the answer is:
needles
'bugs' is the definition.
(to provoke or annoy someone)
'endless unwanted' is the wordplay.
'endless' means to remove the last letter.
'unwanted' becomes 'needless' (I've seen this before).
'needless' with its final letter taken off is 'NEEDLES'.
(Other definitions for needles that I've seen before include "They may play LPs" , "is irritating" , "Winds up" , "Sharp pointed implements" , "Western point of the Isle of Wight" .)