The most common and most likely answer to this crossword clue is the 5 plus 5 letter word KHMER ROUGE
I've seen this crossword clue in The Guardian
K
H
M
E
R
R
O
U
G
E
More clues leading to the result KHMER ROUGE
Buddy explains!

The straight part
We know that "Asian communists/Asian/communists" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case asian communists/asian/communists = khmer rouge.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.