The most common and most likely answer to this crossword clue is the 9 letter word MALLEABLE
I've seen this crossword clue in The Times
M
A
L
L
E
A
B
L
E
More clues leading to the result MALLEABLE
- Good to get out of rigged ball-game, with the French being easily persuaded
- Label meal cooked in plastic
- Plastic casings removed from smaller cables
- Easily persuaded man to take up jangling a bell
- Plastic label woven into man’s clothing
- Flexible label designed to be worn by man
- Easily influenced each pair of bloggers taken in by director Louis
Buddy explains!

The straight part
We know that "easily persuaded" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case easily persuaded = malleable.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 MALLEABLE mean?
MALLEABLE adjective- Able to be hammered into thin sheets; capable of being extended or shaped by beating with a hammer, or by the pressure of rollers.
- Flexible, liable to change.
- (of an algorithm) in which an adversary can alter a ciphertext such that it decrypts to a related plaintext