She seemed embarrassed to go barefoot and to be watched when she took her boots and gloves off. Since we can see when she is wearing those pieces of clothing does this mean she is constantly walking around naked?
We know she can't make anything she has on her - including her clothing - invisible, so if she's totally invisible she's naked. We've seen her taking off her battle uniform (yes, the gloves and the boots) for tactical advantage.
also during the final exam at the end of season 2 she put the cuff on snipe and his elbow bumped "something" on her and she immediately yelled at him for being a pervert while he defended that he couldn't see her.
I assume that with the technology disposable at UA they can manufacture something similar to Violet's suit from the Incredibles. It's not the suit that can turn someone invisible, but the person's powers that turn the suit invisible. The suit turns invisible with the person's powers (so for Toru, because she can't turn her powers off just yet it would be activated once she put it on) So along with Class A's costumes, Toru got hers which is a one piece suit. I assume and the gloves and boots are her own, which would explain why she needed to take them off. As for the logistics I think UA would have considered light refraction or something like that as we can see she figures out she can manipulate that too 🤔