That's a pretty small cub, what size is your trainer?

And no, Cubs are not usually recommended for training on. It can be done of course, but generally, you should look for a flat bottom wing. Cubs LOOK like the wing is flat on the bottom, but they are actually semi-symmetrical. Combine that with the bolted on wing, and the weak cabin (Due to the clear plastic windows), and you have a recipe for disaster.

Stick with learning on your trainer, but you could be thinking about a Cub for a second plane.