Persecuting the Baskervilles? (8)
I believe the answer is:
hounding
'persecuting' is the definition.
(hound can mean to persecute or harass)
I cannot understand how the remainder of the clue works.
(Other definitions for hounding that I've seen before include "Harassing in a canine way" , "Keeping going after" , "Pursuing relentlessly" .)