I don't have the link to it, but a guy built a SPAD turbine plane. No kidding, a $50 airframe with a $1200 turbine on it. It's a rather high-drag, slow moving thing, I think he said top speed around 80-90mph.

Still, typical trainer speeds for training are in the 40mph range, maybe even slower for some.

Factor in the throttle lag Shok mentions, and no, personally, I wouldn't train anyone using a current turbine.

In the future, who can tell. Turbines are getting smaller and more reliable all the time. I suspect we'll be seeing micro-turbines before too long. When we get to that point, it might become pratical.

Fwiw, I also wouldn't train anyone on a Dr.1, a Cap, or a pylon racer (unless the racer had a de-tuned sport engine, then we'd talk about it).

I did train a guy on a Top Flight Elder. Not a trainer, closer to an ultra stick in flight performance. He was a quick student, and was learning fine, though slower than he might have. Even taught him take off and landing on the Elder, tail dragger with narrow mains and everything. Sure, it took a lot of practice to get in the air, but he got there. (Before he was soloed though, he went and bought a trainer. Soloed like 2 flights later on the trainer, it was so much easier than the Elder).