The most common and most likely answer to this crossword clue is the 6 letter word UNJUST
I've seen this crossword clue in The Times
U
N
J
U
S
T
More clues leading to the result UNJUST
Buddy explains!

The straight part
We know that "wrong" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case wrong = unjust.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 UNJUST mean?
UNJUST adjective- Not fair, just or right.