Keep disturbing the dog (4)
I believe the answer is:
peke
'the dog' is the definition.
(short for Pekingese)
'keep disturbing' is the wordplay.
'disturbing' indicates anagramming the letters.
'keep' anagrammed gives 'PEKE'.
(Other definitions for peke that I've seen before include "Small breed of dog" , "In short, it's a small short-legged dog" , "Small dog (colloq.)" , "Small canine" , "Small snub-nosed dog" .)