To run quickly with small, light steps, especially because you are excited or in a hurry.
Scamper makes people think of small animals like rabbits or mice running around quickly and happily.
Examples:
The rabbit will scamper away.
The little mouse scampered across the floor.
The children scamper around the playground.
The squirrel scampered up the tree.
When the bell rang, the kids scampered out of the classroom.
The puppy scampered after the ball.