The most common and most likely answer to this crossword clue is the 7 letter word INDUCED
I've seen this crossword clue in The Daily Telegraph
I
N
D
U
C
E
D
Buddy explains!

The straight part
We know that "persuaded" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case persuaded = induced.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 INDUCED mean?
INDUCED verb- To lead by persuasion or influence; incite or prevail upon.
- To cause, bring about, lead to.
- To cause or produce (electric current or a magnetic state) by a physical process of induction.
- To infer by induction.
- To lead in, bring in, introduce.
- To draw on, place upon.