The most common and most likely answer to this crossword clue is the 4 plus 3 plus 5 letter word SAFE AND SOUND
S
A
F
E
A
N
D
S
O
U
N
D
Buddy explains!
The straight part
We know that "out of the woods" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case out of the woods = safe and sound.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.