The most common and most likely answer to this crossword clue is the 9 letter word AMENDABLE
I've seen this crossword clue in Financial Times
A
M
E
N
D
A
B
L
E
More clues leading to the result AMENDABLE
- Willing to clothe daughter liable to get changed
- Bad enamel breaking up is open to being put right
- Response to Dominica’s first island uprising may be varied
- Willing daughter stops being open to possible change
- Bad men drunk with ale not beyond redemption
- Daughter in pleasant surroundings likely to change
- Open to change of plan, a motorway that may be stopped
Buddy explains!
The straight part
We know that "may be varied" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case may be varied = amendable.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.