I tried this with little success. The c-mount is such a cropped sensor that even with the EOS lens adapter you only get the middle of the shot... also I haven't found a good solution for focus and f-stop that is buried inside the EOS pin protocol. I'm sure it's solvable but haven't found it yet.
The big problem is unless you use fisheye lenses like 6 or 11mm full frame (35mm equivalent), the full frame equivalent focal length you get with the HQ camera sensor is practically in the exotic telephoto range, it's a crop factor of like 5.2x.
It's nice for things like astronomy (your nice 200mm f/2.8 is now 1000mm+) or bird/nature watching, but it's highly impractical for anything but specialist portraiture or walk around use.
Most of the c mount lenses available are pretty poor, and getting focus right with anything not way stopped down (especially without a large display) can be super tricky.