The most common and most likely answer to this crossword clue is the 4 plus 9 letter word HAWK (HANDSAW)
I've seen this crossword clue in The Guardian
H
A
W
K
(
H
A
N
D
S
A
W
)
Buddy explains!

The straight part
We know that "Warmonger" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case warmonger = hawk (handsaw).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.