If I'm seeing a Dr on main campus can I get lab work done at a local Cleveland clinic hospital and not drive 3 hrs to main campus just for labs?

You sure can ,it will appear on my chart.

I have had x-ray requests from dr., and I just go to the clinic close to my home

Yes, you can. Just let your Dr. know that is what you intend to do.

Typically you can have labs done at the nearest Cleveland Clinic facility.