The most common and most likely answer to this crossword clue is the 10 letter word DING-DONGS
I've seen this crossword clue in The Times
D
I
N
G
-
D
O
N
G
S
More clues leading to the result DING-DONGS
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 = ding-dongs.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 DING-DONGS mean?
DING-DONGS noun- An idiot.
- A penis.
- A woman's breast.
- A fight, an argument; a set-to.
- An idiot.
- An attachment to a clock by which the quarter hours are struck upon bells of different tones.