If you add a version number in the wp_enqueue_script() call – fourth argument – it will append a query string to the css file reference and most (if not all) browsers will see that as a cache-breaker and force the asset to be requested again from the server.
https://developer.wordpress.org/reference/functions/wp_enqueue_script/
If you are hard-coding the script reference in your HTML then simply add a query string to the end: /mypath/some-stye.css?v=1234
Any changes to that v=1234 part will force the cached copy to be invalidated.