The most common and most likely answer to this crossword clue is the 11 letter word TOPSY-TURVY
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More clues leading to the result TOPSY-TURVY
Buddy explains!

The straight part
We know that "chaotic" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case chaotic = topsy-turvy.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 TOPSY-TURVY mean?
TOPSY-TURVY verb- To turn upside down, or throw into disorder.
- Backwards or upside-down.
- Disorderly; chaotic.
- Backwards or upside-down.
- In a disorderly manner; chaotically.