Anticipating a future when this leaves beta and the minutes spent in actions starts to cost money, I would really like an option to have new commits to branch cancel any previous checks running as a result of pull request events on that branch. In my case they'll all be superceded anyway.
Thanks for this feedback! We're always working to improve GitHub and the GitHub Community Forum, and we consider every suggestion we receive. I've logged your feature request in our internal feature request list. Though I can't guarantee anything or share a timeline for this, I can tell you that it's been shared with the appropriate teams for consideration.