Being hurried, is obliged to finish duty (5)
I believe the answer is:
hasty
'being hurried' is the definition.
('hasty' can be similar in meaning to 'hurried')
'is obliged to finish duty' is the wordplay.
'is obliged' becomes 'has'.
'to finish' means to take half the letters.
'duty' with half the letters taken is 'ty'.
'has'+'ty'='HASTY'
(Other definitions for hasty that I've seen before include "Rash; hurried" , "Impulsive" , "Rushed; rash" , "Quick - reckless" , "Too hurried, careless" .)