Household servant having row in private (8)
I believe the answer is:
domestic
I believe this clue is a double definition.
'household servant' is the first definition.
(I've seen this before)
'row in private' is the second definition.
(domestic argument)
'having' acts as a link.
(Other definitions for domestic that I've seen before include "Daily" , "Household servant" , "Relating to home or private affairs" , "Concerning home affairs" , "Homely" .)