The most common and most likely answer to this crossword clue is the 9 letter word VERACIOUS
I've seen this crossword clue in The Times
V
E
R
A
C
I
O
U
S
More clues leading to the result VERACIOUS
Buddy explains!

The straight part
We know that "right" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case right = veracious.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.
What does VERACIOUS mean?
VERACIOUS adjective- True.
- Truthful; speaking the truth.