The most common and most likely answer to this crossword clue is the 8 plus 3 letter word ADRIATIC SEA
I've seen this crossword clue in The Times
A
D
R
I
A
T
I
C
S
E
A
Buddy explains!
The straight part
We know that "A cadet’s air I blasted sailing here" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case a cadet’s air i blasted sailing here = adriatic sea.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.