Synonyms of run after something or someone
run after something or someone
chaseIf you chase someone, or chase after them, you run after them or follow them quickly in order to catch or reach them.
• She chased the thief for 100 yards.
followIf you follow someone who is going somewhere, you move along behind them without their knowledge, in order to catch them or find out where they are going.
• I think we're being followed.
pursueIf you pursue a person, vehicle, or animal, you follow them, usually in order to catch them.
• She pursued the man who had stolen her bag.
Thesaurus for run after something or someone from the Collins English Thesaurus