The most common and most likely answer to this crossword clue is the 14 letter word BELLES-LETTRES
B
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Buddy explains!

The straight part
We know that "Elegant literature" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case elegant literature = belles-lettres.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 BELLES-LETTRES mean?
BELLES-LETTRES noun- The humanities.
- Literature, particularly light compositions valued for their aesthetic properties.
- Literary studies, particularly literary aesthetics.