The most common and most likely answer to this crossword clue is the 3 plus 6 letter word SUN DANCES
I've seen this crossword clue in The Times
S
U
N
D
A
N
C
E
S
Buddy explains!
The straight part
We know that "Native American ceremonies/can send US" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case native american ceremonies/can send us = sun dances.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.