The most common and most likely answer to this crossword clue is the 3 plus 3 plus 5 letter word THE BIG ISSUE
I've seen this crossword clue in The Guardian
T
H
E
B
I
G
I
S
S
U
E
Buddy explains!
The straight part
We know that "Magazine" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case magazine = the big issue.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.