The most common and most likely answer to this crossword clue is the 11 letter word INVOLUNTARY
I've seen this crossword clue in The Times
I
N
V
O
L
U
N
T
A
R
Y
Buddy explains!
The straight part
We know that "moved automatically" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case moved automatically = involuntary.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 INVOLUNTARY mean?
INVOLUNTARY adjective- Without intention; unintentional.
- Not voluntary or willing; contrary or opposed to explicit will or desire; unwilling.