The most common and most likely answer to this crossword clue is the 4 letter word AWRY
I've seen this crossword clue in Financial Times
A
W
R
Y
More clues leading to the result AWRY
- Crooked? Sounds like a grass
- What a shame — line is wonky
- What a shame - lines are wrong
- It’s a pity lines are asymmetrical
- Viewed from the east, Yr Wyddfa — extremely twisted
- Wrong to be suspicious with a promotion
- Champion’s left raceway, crashing to one side
- Twisted, breezy wife supplants one
- Starting arguments without reason you become twisted
- Suspicious as wife travels eastward by unexpected route
Buddy explains!

The straight part
We know that "to one side" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case to one side = awry.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 AWRY mean?
AWRY adjective- Turned or twisted toward one side; crooked, distorted, out of place; wry.
- Wrong or distorted; perverse, amiss.
- Obliquely, crookedly; askew.
- Perversely, improperly.