The most common and most likely answer to this crossword clue is the 6 letter word SNIFFY
S
N
I
F
F
Y
More clues leading to the result SNIFFY
- According to nature, uncertain or doubtful
- Perhaps getting cold and disdainful
- Suffering cold, student leaves, being disdainful
- Suspect at station outwardly arrogant
- Doubtful after sermon, extremely condescending
- Supercilious saleswomen with no heart — dodgy!
- Supercilious, suspicious Poles came first
- Superior case of Sauvignon, a bit off
- Disdainful section extremely tentative
Buddy explains!

The straight part
We know that "arrogant" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case arrogant = sniffy.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 SNIFFY mean?
SNIFFY adjective- Disdainful; haughty.
- Characterised by sniffing.