The most common and most likely answer to this crossword clue is the 3 letter word WRY
I've seen this crossword clue in The Times
W
R
Y
More clues leading to the result WRY
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 = wry.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 WRY mean?
WRY noun- Distortion.
- To turn (away); to swerve or deviate.
- To divert; to cause to turn away.
- To twist or contort (the body, face, etc.).
- Turned away, contorted (of the face or body).
- Dryly humorous; sardonic or bitterly ironic.
- Twisted, bent, crooked.
- Deviating from the right direction; misdirected; out of place.
- To cover; clothe; cover up; cloak; hide.