The most common and most likely answer to this crossword clue is the 4 letter word ROWS
I've seen this crossword clue in Financial Times
R
O
W
S
Buddy explains!

The straight part
We know that "Disputes" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case disputes = rows.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 ROWS mean?
ROWS noun- A line of objects, often regularly spaced, such as seats in a theatre, vegetable plants in a garden etc.
- A line of entries in a table, etc., going from left to right, as opposed to a column going from top to bottom.
- An act or instance of rowing.
- An exercise performed with a pulling motion of the arms towards the back.
- To propel (a boat or other craft) over water using oars.
- To transport in a boat propelled with oars.
- To be moved by oars.
- A noisy argument.
- A continual loud noise.
- To argue noisily