The most common and most likely answer to this crossword clue is the 7 letter word CHILEAN
I've seen this crossword clue in Independent
C
H
I
L
E
A
N
More clues leading to the result CHILEAN
- Greek character with thin South American
- Letter from Greek bank for S American
- Charlie greeting thin foreigner
- In church, one thin South American
- South American church, one next to bank
- Having washed all over, greeting American
- National character from Athens list
- Broken chandelier, lacking colour, is of South American origin
- High Court ordered illegal alien to become Santiago resident
- South American most smart and thin
Buddy explains!

The straight part
We know that "National" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case national = chilean.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.