The most common and most likely answer to this crossword clue is the 3 plus 3 plus 8 letter word HOT AND BOTHERED
I've seen this crossword clue in Financial Times
H
O
T
A
N
D
B
O
T
H
E
R
E
D
Buddy explains!
The straight part
We know that "Agitated" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case agitated = hot and bothered.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.