Pester, harass (6)
I believe the answer is:
badger
I believe this is a double definition.
'pester' is the first definition.
(synonyms)
'harass' is the second definition.
(synonyms)
(Other definitions for badger that I've seen before include "Black and white striped animal" , "A mammal; harry" , "Beast blamed for TB" , "Carnivore - pester" , "Pester the burrowing animal" .)