The "restriction" part of any fetish is always cool for me. If its "restrictive", I have a liking for it, regardless what that restriction is. My braces fetish definitely comes from having it myself. I *know* what it's like to be braced, and that tight feeling in your mouth that on a bad day can feel like potential suicide, but on a good day can be a very interesting and fun feeling. I know what it's like to sit in a headgear for hour upon hour, day after day, week after week, and the discipline it takes to keep that thing in your mouth. I love the idea of the "discipline" of it.
Like Retained, above, I also have a thing for other medical things, but I think it all boils down to "restriction". A cast/brace/caliper/whatever is just another bondage device. And because it is medical, its kinda "legitimate". I cannot take my pal out to dinner to a fancy restaurant in handcuffs, but I can take her in a cast. Never done that though, but the idea stands. (Instead, I just have my pals over for dinner at my place, where they can have a meal with handcuffs on!)