The most common and most likely answer to this crossword clue is the 6 plus 8 letter word REMAIN (MARINE)
R
E
M
A
I
N
(
M
A
R
I
N
E
)
Buddy explains!
The straight part
We know that "stay" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case stay = remain (marine).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.