Obligations (5)
'obligations' is the definition.
('duty' can be a synonym of 'obligation')
This is all the clue.
(Other definitions for duties that I've seen before include "'Obligations, responsibilities (6)'" , "Taxes or responsibilities" , "Assignments and obligations" , "Suited to responsibilities" , "Obligations or taxes" .)
'obligations' is the definition.
('debt' can be a synonym of 'obligation')
This is the entire clue.
(Other definitions for debts that I've seen before include "Liabilities" , "Outstanding sums" , "Moneys owed" , "They're owed" , "Amounts owed" .)