Doubt misers regularly admitted responsibilities (6)
I believe the answer is:
duties
'admitted responsibilities' is the definition.
'duties' can be an answer for 'responsibilities' ('duty' can be a synonym of 'responsibility'). I'm not sure about the 'admitted' bit.
'doubt misers regularly' is the wordplay.
'regularly' means one should take alternating letters (regularly take one letter, leave next etc.).
'doubt'+'misers'='doubtmisers'
The alternating letters of 'doubtmisers' are 'DUTIES'.
Can you help me to learn more?
(Other definitions for duties that I've seen before include "Moral or legal obligations" , "'Obligations, responsibilities (6)'" , "Obligations and responsiblities" , "Tasks to be done" , "Obligations or taxes" .)