Meaning: Ensure that someone remembers to do something
Example: The librarian is CHASING me UP about my overdue books.
Meaning: Try to get someone to pay a bill, debt, etc
Example: I CHASED her UP as she hadn't paid for several months.
Meaning: Try to get more information about the progress of something
Example: I didn't get a reply so I have been CHASING them UP.
We have 3 phrasal verbs with 'CHASE'