The most common and most likely answer to this crossword clue is the 7 plus 5 letter word SCANDAL SHEET
I've seen this crossword clue in The Times
S
C
A
N
D
A
L
S
H
E
E
T
More clues leading to the result SCANDAL SHEET
Buddy explains!

The straight part
We know that "Newspaper" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case newspaper = scandal sheet.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.