to hurry after someone or something in order to catch him, her, or it
I was chased by an angry native.
The children excitedly chased after the ice cream truck as it made its way through the neighborhood.
The police had to chase the suspect through the crowded market before apprehending him.
The cat entertained itself by chasing a ball of yarn around the living room.
During the game of tag, the kids took turns chasing each other around the playground.
