The most common and most likely answer to this crossword clue is the 8 letter word DISCREET
D
I
S
C
R
E
E
T
More clues leading to the result DISCREET
- Diplomatic prison guard briefly incarcerated by regime
- Diplomatic insult island caught on wiretap
- Careful not to upset record run with rising support
- Tactful signal in Morse about loose rock
- Unlikely to reveal spoilers by rolling credits
- Modest support by Catholic party largely withdrawn
- Tactful individual, we hear
- Disrespect North American tribe? Time to be prudent
- Tactful individual becoming twisted finally
- Delicate record — Queen support rises
Buddy explains!

The straight part
We know that "Wary" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case wary = discreet.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 DISCREET mean?
DISCREET adjective- Respectful of privacy or secrecy; exercising caution in order to avoid causing embarrassment; quiet; diplomatic.
- Not drawing attention, anger or challenge; inconspicuous.