The most common and most likely answer to this crossword clue is the 6 letter word QATARI
I've seen this crossword clue in The Times
Q
A
T
A
R
I
More clues leading to the result QATARI
- A sailor appears in TV quiz about Gulf state
- Asian nation welcoming territorials from the East
- Revolutionary republic defends army of nearby Arabian state
- Question about the American Revolution is primarily a national one
- Gulf national sounding full of cold
- Arab country after uprising has sealed fate when shelled
- Middle-Easterner advanced pitch to enter TV panel show
- Arab national who sounds full of phlegm!
- Middle Eastern country importing endless tat from the south?
Buddy explains!

The straight part
We know that "of nearby Arabian state" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case of nearby arabian state = qatari.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.