1.
If someone, especially a police officer, tells you to ~, or if they move you along, they tell you to stop standing in a particular place and to go somewhere else.
Curious pedestrians were ordered to ~...
Our officers are moving them along and not allowing them to gather in large groups.
PHRASAL VERB: V P, V n P, also V P n (not pron)
2.
If a process moves along or if something moves it along, it progresses.
Research tends to ~ at a slow but orderly pace...
Delay is part of the normal process, but I hope we can move things along.
PHRASAL VERB: V P, V n P