Restoration of control over what the bank may provide (13)
I believe the answer is:
reinstatement
'restoration' is the definition.
(I know that reinstatement is a type of restoration)
'control over what the bank may provide' is the wordplay.
'control' becomes 'rein' (synonyms).
'over' is a charade indicator (letters next to each other) (in a down clue, some letters go over others).
'what the bank may provide' becomes 'statement' (bank statement).
'rein'+'statement'='REINSTATEMENT'
'of' acts as a link.
(Other definitions for reinstatement that I've seen before include "Restoration to a previous position" , "Rehabilitation" , "Restoring" .)