A lot of cleaning staff to keep home going for actor (6,7)
I believe the answer is:
dustin hoffman
'home going for actor' is the definition.
I don't know anything about this answer so I can't judge whether this works.
'a lot of cleaning staff to keep' is the wordplay.
'a lot of' means to remove the last letter (a lot of the word but not all of it).
'cleaning' becomes 'dusting' (dusting is a type of cleaning).
'staff' becomes 'man' (as in staffing or manning a particular place).
'to' is a charade indicator (letters next to each other) (I've seen this in other clues).
'keep' becomes 'hoff' (I can't justify this - if you can you should give a lot more credence to this answer).
'dusting' with its final letter taken off is 'dustin'.
'man' put after 'hoff' is 'hoffman'.
'dustin'+'hoffman'='DUSTIN HOFFMAN'
(Other definitions for dustin hoffman that I've seen before include "Rain Man actor" , "Star of Rain Man and Midnight Cowboy" .)