Rust has no exceptions in any sense of the word. Exceptions are ways to crash the program in a controlled manner with the ability for these crashes to be caught midway before the program crashes and handled correctly.
In rust you can only crash it explicitly using the panic! Macro. No handling.
The different name you are looking for is "errors". Rust has errors as do all programs. Some programs have exceptions to handle those errors. Rust does not.
If you mean "runtime crashes" then elm is the only language that is popular that uses has no runtime crashes.