Obliged to have levy tied up (4-5)
I believe the answer is:
duty-bound
'obliged' is the definition.
(I know that obliged can be written as duty-bound)
'levy tied up' is the wordplay.
'levy' becomes 'duty' (duty is a kind of levy).
'tied up' becomes 'bound' ('bind' can be a synonym of 'tie up').
'duty'+'bound'='DUTY-BOUND'
'to have' is the link.
(Other definitions for duty-bound that I've seen before include "Under an obligation to do something" , "Morally or legally obliged (to do something)" .)