The most common and most likely answer to this crossword clue is the 4 letter word HOPI
I've seen this crossword clue in The Guardian
H
O
P
I
More clues leading to the result HOPI
- Go away, not having time for Native American
- Piano composer not the first or last in a native group
- American native given greeting outside work
- Native American dance on island
- Native-American dance leading to onset of inundation
- Reduced ambition to join one native group
- Native American‘s somewhat faddish opinions
Buddy explains!

The straight part
We know that "Native American" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case native american = hopi.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.