The most common and most likely answer to this crossword clue is the 4 plus 2 plus 3 letter word WALK ON AIR
W
A
L
K
O
N
A
I
R
More clues leading to the result WALK ON AIR
Buddy explains!

The straight part
We know that "possibly be exhilarated" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case possibly be exhilarated = walk on air.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.