The most common and most likely answer to this crossword clue is the 6 letter word BRAWLS
I've seen this crossword clue in The Times
B
R
A
W
L
S
More clues leading to the result BRAWLS
Buddy explains!

The straight part
We know that "Fights" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case fights = brawls.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 BRAWLS mean?
BRAWLS noun- A dance of French origin dating from the 16th century, performed by couples in a circle or a line; the music for this dance.
- A disorderly argument or fight, usually with a large number of people involved.
- To engage in a brawl; to fight or quarrel.
- To create a disturbance; to complain loudly.
- Especially of a rapid stream running over stones: to make a loud, confused noise.
- To pour abuse on; to scold.
- To move to and fro, to quiver, to shake.
- A type of dance move or step.