Cut out part of support covering financial centre (6)
I believe the answer is:
resect
'cut out' is the definition.
(I've seen this in another clue)
'support covering financial centre' is the wordplay.
'support' becomes 'rest' (e.g. a shoulder rest is a support for shoulder).
'covering' is an insertion indicator.
'financial centre' becomes 'EC' (EC is the postcode for the City of London).
'rest' placed around 'ec' is 'RESECT'.
'part of' acts as a link.
(Other definitions for resect that I've seen before include "Cut away or remove a bit of the body" , "Excise" , "Cut out tissue or part of an organ" , "Surgically remove a part of a structure or organ" .)