The most common and most likely answer to this crossword clue is the 8 letter word STYLISTS
I've seen this crossword clue in The Daily Telegraph
S
T
Y
L
I
S
T
S
More clues leading to the result STYLISTS
Buddy explains!

The straight part
We know that "elegant writers" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case elegant writers = stylists.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does STYLISTS mean?
STYLISTS noun- Designer.
- Hairdresser.
- A writer or speaker distinguished for excellence or individuality of style; one who cultivates, or is a master or critic of, literary style.
- An artist who has a particular distinctive style.