Intended to hold name back (7)
I believe the answer is:
finance
'back' is the definition.
(to finance is to back or support with money)
'intended to hold name' is the wordplay.
'intended' becomes 'fiance' (who someone intends to marry).
'to hold' is an insertion indicator.
'name' becomes 'n' (common abbreviation e.g. on forms).
'fiance' placed around 'n' is 'FINANCE'.
(Other definitions for finance that I've seen before include "Back" , "Economics" , "Provide funds for" , "Supply funds" , "See 9" .)