That would be nice. There is a RSS already for digitaloceanstatus.com... I think it will be easy to accomplish. In twitter we can mark a account to notify us (in mobile) wherever a tweet is published!
At least put a link somewhere on the site. Like the other comments; I had to discover the status website via Google..
I was in a similar boat; totally did not realize digitaloceanstatus.com existed until it came up one day in a Google search. Perhaps, at a minimum, it could be advertised prominently on D.O.'s Home Page and/or Help & Community sections.
I didn't even know digitaloceanstatus.com existed until I asked for it on this uservoice.com site... the @digitalocean Twitter feed was the second place I looked, after digitalocean.com.
You won't be notified about changes to this idea.