This language really interests me, but I would like to know some real world applications that are being used for it. While I may enjoy writing it as a hobby, could this be something that I utilized in production as well?
Game development, Application development (things like photoshop), high-load web service backends, embedded systems... basically anywhere that C++ is currently used.
The cool thing about Rust is that it guides you towards writing performant code, with a much lower likelihood of ugly bugs. This means it has a lower barrier to entry that languages like C++ or C, where you need a high level of domain specific knowledge and experience in to avoid nasty pitfalls and mistakes.
That said I think the language is still too much in flux to really use for production systems. It seems to still be undergoing syntax changes, standard library changes, etc that might make code that works today not compile tomorrow.