The most common and most likely answer to this crossword clue is the 4 plus 3 plus 4 letter word COCK AND BULL
I've seen this crossword clue in The Times
C
O
C
K
A
N
D
B
U
L
L
Buddy explains!
The straight part
We know that "Potentially characters in Animal Farm/ an unlikely sort of story" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case potentially characters in animal farm/ an unlikely sort of story = cock and bull.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.