Accomplished story not read regularly (8)
I believe the answer is:
talented
'accomplished' is the definition.
(I've seen this before)
'story not read regularly' is the wordplay.
'story' becomes 'tale' (synonyms).
'regularly' means one should take alternating letters (regularly take one letter, leave next etc.).
'not'+'read'='notread'
The alternate letters of 'notread' are 'nted'.
'tale'+'nted'='TALENTED'
(Other definitions for talented that I've seen before include "Brilliant" , "Well-endowed with gifts" , "Having a natural aptitude or skill" , "Naturally gifted" , "Accomplished" .)