Can you get a discount when your teen goes to college without a car?
Yes. Most carriers offer a student-away-at-school discount when a teen attends school beyond a set distance from home, commonly one hundred miles, and does not keep a vehicle there. The student stays covered on your policy when home on breaks, which is why removing them entirely is usually a mistake.
Keep the student on the policy. Removing them saves less than the discount does and leaves them uninsured when they drive your car over winter break, which is exactly when families forget to add them back.
Tell your agent if the situation changes mid-term — a car brought to campus in the spring, or a transfer to a closer school — because the discount is distance-and-vehicle dependent and a stale answer can create a coverage problem at claim time.