The “Rust Enhanced” Sublime package is extremely noisy (“fruit salad”) with its syntax checks, by default:

To reduce the amount of this noise, I use these settings:

{
    "rust_syntax_hide_warnings": true,
    "rust_message_status_bar": true,
    "rust_region_style": "stippled_underline",
    "rust_phantom_style": "none",
}

..which results in:

This is much less intrusive. However, you’ll have to run a manual build and look in the bottom panel for the error messages as the markers in the gutter don’t expose them. This should be, at least, less intrusive for most developers.