The most common and most likely answer to this crossword clue is the 6 letter word MOSEYS
M
O
S
E
Y
S
Buddy explains!
The straight part
We know that "Moves slowly" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case moves slowly = moseys.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 MOSEYS mean?
MOSEYS verb- To set off, get going; to start a journey.
- To go off quickly: to hurry up.
- To amble; to walk or proceed in a leisurely manner.