The most common and most likely answer to this crossword clue is the 3 plus 5 plus 3 plus 3 plus 5 letter word THE SNAIL AND THE WHALE
I've seen this crossword clue in Independent
T
H
E
S
N
A
I
L
A
N
D
T
H
E
W
H
A
L
E
Buddy explains!

The straight part
We know that "One of 13’s stories" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case one of 13’s stories = the snail and the whale.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.