Account that's due comes rolling in (9)
I believe the answer is:
billowing
'rolling in' is the definition.
(I've seen this before)
'account that's due' is the wordplay.
'account' becomes 'bill' (billing is a kind of accounting).
'that's due' becomes 'owing' (similar in meaning).
'bill'+'owing'='BILLOWING'
'comes' is the link.
(Other definitions for billowing that I've seen before include "rolling in" , "affected by inflation" .)