The most common and most likely answer to this crossword clue is the 10 letter word MOTORCADES
I've seen this crossword clue in Financial Times
M
O
T
O
R
C
A
D
E
S
Buddy explains!
The straight part
We know that "people, important, may move in these" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case people, important, may move in these = motorcades.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 MOTORCADES mean?
MOTORCADES noun- A procession of cars carrying VIPs, especially political figures.