The most common and most likely answer to this crossword clue is the 3 plus 5 letter word BIN LADEN
I've seen this crossword clue in Financial Times
B
I
N
L
A
D
E
N
Buddy explains!
The straight part
We know that "Notorious individual/describing one stuffed with 1" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case notorious individual/describing one stuffed with 1 = bin laden.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.