Part of the whole point of CC being cloud based is that you can log in from any device. Maybe the school plan is restricted by licensing, but on regular plan, you can just install CC on any device and just log in.
Edit: yeah they have a licensing plan for per-user or per-device, so it depends what they have
So the question is: do you have a login that you can use from any school computer, or does it just run, but you have to use it on a computer in a specific room?