The most common and most likely answer to this crossword clue is the 8 letter word UNTURNED
I've seen this crossword clue in The Guardian
U
N
T
U
R
N
E
D
Buddy explains!
The straight part
We know that "Stone’s condition, maybe, while search is still ongoing?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case stone’s condition, maybe, while search is still ongoing? = unturned.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 UNTURNED mean?
UNTURNED adjective- Not turned.