The most common and most likely answer to this crossword clue is the 6 letter word DARTED
I've seen this crossword clue in Financial Times
D
A
R
T
E
D
More clues leading to the result DARTED
- Shot dead protecting heartless traitor – it’s all over
- Ventured to admit time was flying
- Ran Germany’s trade abroad
- Dashed unfashionable embracing right
- Man submerged under Devon river moved quickly
- Old marathoner finally entered and ran
- Moved quickly and was brave enough to grab terrorist’s foot
- Thorny fruit’s rough at the top, pudgy in the middle
Buddy explains!

The straight part
We know that "Moved quickly" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case moved quickly = darted.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 DARTED mean?
DARTED verb- To throw with a sudden effort or thrust; to hurl or launch.
- To send forth suddenly or rapidly; to emit; to shoot
- To shoot with a dart, especially a tranquilizer dart
- To fly or pass swiftly, like a dart; to move rapidly in one direction; to shoot out quickly
- To start and run with speed; to shoot rapidly along