Instead of having the user copy and paste the CSS directly, have them copy and paste the HTML that will include an external CSS file generated and hosted by your application. This will allow you to control when the stylesheet is updated as well as control privileges on who can request the file. Additionally, using a CDN service (e.g. Cloudflare) will allow you to cache the static assets being requested reducing overall server load.
When your server (and optionally CDN) no longer are serving the file, consider the link expired. Unique URLs can be generated using a multitude of methods but maybe consider if there is any benefit to the users if it follows the scheme: yourdomain.com/USERNAME/CUSTOM_NAME.css rather than something like: yourdomain.com/style/SOME-UNIQUE-HASH-1234.css
