The most common and most likely answer to this crossword clue is the 9 plus 13 letter word CHARACTER ASSASSINATION
I've seen this crossword clue in The Times
C
H
A
R
A
C
T
E
R
A
S
S
A
S
S
I
N
A
T
I
O
N
More clues leading to the result CHARACTER ASSASSINATION
Buddy explains!

The straight part
We know that "Libellous attack" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case libellous attack = character assassination.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.