Pester with unoriginal public address (5)
I believe the answer is:
annoy
'pester' is the definition.
(I've seen this in another clue)
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for annoy that I've seen before include "trouble" , "Anger" , "be a nuisance" , "Bother, irritate" , "hack off" .)