Ignoring banks, might have borrowed (3)
I believe the answer is:
owe
'have borrowed' is the definition.
(if you borrow money you owe)
'ignoring banks might' is the wordplay.
'ignoring banks' indicates the central letters (the banks are the sides of the word).
'might' becomes 'power' (I've seen this before).
The middle letters of 'power' are 'OWE'.
(Other definitions for owe that I've seen before include "Have a duty to pay" , "Are debtors" , "Have outstanding" , "Ben in debt" , "Bear" .)