Independent bank promoting Head of Finance (4)
I believe the answer is:
free
'independent' is the definition.
(similar in meaning)
'bank promoting head of finance' is the wordplay.
'bank' suggests removing the centre (I've seen 'banks of' mean this (the banks are the sides of the word)).
'promoting' becomes 'fighting for' (fighting for is a kind of promoting).
'head of finance' becomes 'ee' (I can't justify this - if you can you should give a lot more credence to this answer).
'fightingfor' with its middle removed is 'fr'.
'fr'+'ee'='FREE'
Can you help me to learn more?
(Other definitions for free that I've seen before include "Sewn-on trimming" , "Unrestricted" , "Release; without cost" , "without payment" , "nought" .)