The most common and most likely answer to this crossword clue is the 3 plus 6 letter word RED PEPPER
R
E
D
P
E
P
P
E
R
More clues leading to the result RED PEPPER
- Soundly studied book on pig in something like a scotch bonnet?
- Native of central America in rare shower
- Soviet stockpiler in US runs out for vegetable
- Radical publication of bloody Lords member stuffed by papers
- Stop and go for each vegetable
- Something hot produced by Marxist sergeant and bandleader?
- Revolutionary to look about very softly in Cayenne
- Communist attack to get capsicum
- Hot stuff, colour sergeant with band
- Ruddy shower doing for vegetable
Buddy explains!

The straight part
We know that "radical (left-wing) publication" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case radical (left-wing) publication = red pepper.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.