The most common and most likely answer to this crossword clue is the 7 letter word DAWDLED
I've seen this crossword clue in The Guardian
D
A
W
D
L
E
D
Buddy explains!

The straight part
We know that "moved slowly" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case moved slowly = dawdled.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 DAWDLED mean?
DAWDLED verb- To spend time idly and unfruitfully, to waste time.
- To spend (time) without haste or purpose.
- To move or walk lackadaisically.