Regularly uncouth writer is celebrated and well-known (5)
I believe the answer is:
noted
'known' is the definition.
(similar in meaning)
'regularly uncouth writer' is the wordplay.
'regularly' indicates alternate letters (regularly take one letter, leave next etc.).
'writer' becomes 'ed' (I've seen this in other clues).
The alternate letters of 'uncouth' are 'not'.
'not'+'ed'='NOTED'
'is celebrated and well' is the link.
This may not be right. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for noted that I've seen before include "Made a record - celebrated" , "Scored" , "taken down" , "Renowned" , "Illustrious" .)