Bank response ignoring pence (4)
I believe the answer is:
rely
'bank' is the definition.
(thesaurus)
'response ignoring pence' is the wordplay.
'response' becomes 'reply' ('reply' can be a synonym of 'response').
'ignoring' suggests deleting specific letters.
'pence' becomes 'p'.
'reply' with 'p' removed is 'RELY'.
(Other definitions for rely that I've seen before include "Lyre (anag.)" , "Be sure" , "Old rally" , "Depend on with confidence" , "All the letters" .)