Fight to get an appointment (10)
I believe the answer is:
engagement
I believe this clue is a double definition.
'fight' is the first definition.
(I know that fight can be written as engagement)
'an appointment' is the second definition.
(I know that appointment can be written as engagement)
'to get' is the link.
(Other definitions for engagement that I've seen before include "publicized by a band" , "promise of union" , "before wedding" , "Gig" , "Action necessary for breach" .)