Kept trimmed? Not husband (5)
I believe the answer is:
saved
'kept' is the definition.
('save' can be a synonym of 'keep')
'trimmed? not husband' is the wordplay.
'trimmed?' becomes 'shaved' (shaving is a kind of trimming).
'not' indicates named letters should be taken away.
'husband' becomes 'h'.
'shaved' with 'h' taken away is 'SAVED'.
(Other definitions for saved that I've seen before include "Conserved" , "Delivered" , "Put money by for a rainy day" , "Redeemed or stored" , "Redeemed or rescued" .)