The most common and most likely answer to this crossword clue is the 5 letter word IRAQI
I
R
A
Q
I
More clues leading to the result IRAQI
- Taxmen once with a measure of intelligence upset Arab?
- Arab lipread quip, missing odd bits
- Arab artillery invading islands without question
- Irish oddly acquit Arab
- Asian leaders of institution really are quite indecisive
- Current TV quiz includes artist, one from Middle East
- An Arab: his quatrain regularly recalled
- Arab or Irish-American taking first question?
- Irish great entertains queen from Middle Eastern country
- National movement to raise level of brightness
Buddy explains!

The straight part
We know that "Baghdad resident" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case baghdad resident = iraqi.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.