"cargo check" is fast and it's enough for the AI to know the code is correct.
I would argue that because Rust is so strict having the agent compile and run tests on every iterations is actually less needed then in other languages.
I program mostly in python but I keep my projects strictly typed with basedpyright and it greatly reduced the amount of errors the agent makes because it can get immediate feedback it has done something stupid.
Of course you still need to review the code because it doesn't solve logic bugs.
cargo check is faster; it's not fast