I'd love this to work, both for sake of RStudio (which does so much for the community) and to bring R to more people.
As for me, the likeliest use-case is to run scripts every so often, without having to leave my main machine on for cron jobs. These would be like scraping pages and sending the results to a twitter bot, and would happen every day or so. Rather than buy a Raspberry Pi and configure it and hope, I'd rather just use R on the cloud for a small fee per month (or pay as you go if I could cap the total monthly cost).
I'm not sure if that's a common use-case or not, but I'd thought I'd share it in the hope that it helps you.