The most common and most likely answer to this crossword clue is the 8 letter word SKULKING
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Buddy explains!
The straight part
We know that "Moving stealthily" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case moving stealthily = skulking.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 SKULKING mean?
SKULKING verb- To stay where one cannot be seen, conceal oneself (often in a cowardly way or with the intent of doing harm).
- To move in a stealthy or furtive way; to come or go while trying to avoid detection.
- To avoid an obligation or responsibility.
- The action of one who skulks.