The most common and most likely answer to this crossword clue is the 8 letter word KANDAHAR
I've seen this crossword clue in Financial Times
K
A
N
D
A
H
A
R
More clues leading to the result KANDAHAR
Buddy explains!

The straight part
We know that "Middle East city" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case middle east city = kandahar.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.