The most common and most likely answer to this crossword clue is the 9 letter word QUADRILLE
I've seen this crossword clue in The Times
Q
U
A
D
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L
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More clues leading to the result QUADRILLE
- What French will accept a routine formal dance?
- Dance from court, cross-examined after both sides quit
- Bad during first half of reel after square dance
- That Parisian tackles a routine dance
- Dance in yard, about to come over unwell
- Dance when leaderless group nearly annoy the French
- Trouble during first half of reel after square dance
Buddy explains!

The straight part
We know that "Dance" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case dance = quadrille.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 QUADRILLE mean?
QUADRILLE noun- A dance originating in the mid-1700s with four couples forming a square, rather much like the modern square dance.
- The music for this dance.
- A Spanish trick-taking card game from the 1700s played with a 40-card deck.
- A choreographed dressage ride, commonly performed to music, with a minimum of four horses.
- To dance the quadrille.
- Quadrille ruled graph paper, quad paper.