Dog has time to complain (5)
I believe the answer is:
trail
'dog' is the definition.
(I know that dog can be written as trail)
'time to complain' is the wordplay.
'time' becomes 't' (abbreviation).
'to complain' becomes 'rail' (railing is a kind of complaining).
't'+'rail'='TRAIL'
'has' is the link.
(Other definitions for trail that I've seen before include "Drag along the ground" , "Linger behind" , "advertise upcoming programmes" , "Drop behind" , "Beaten path; follow" .)