We'd better hope caveman doesn't see this.
Ok, here's the travel info from my interview email:
If you are traveling by AIR: You can take a taxi from the airport to the Cleveland Clinic campus (see section of HOTEL ACCOMMODATIONS for specific hotel locations on the Cleveland Clinic campus). The taxi fare is approximately $30.00 one way. A less expensive option of getting to the campus is to take the RTA Rail/Rapid Transit (fare $1.50) from Cleveland Hopkins Airport to Tower City in downtown Cleveland followed by a taxi ride to the Cleveland Clinic campus approximately $8.00.
So it looks like there is not a direct stop on campus if you take the train.