Ever thought about watching the parent site for updates with similar content?
One thing I'd find this useful for would be when you're waiting for something to be released - point this at an author's website (or a subpage related to a book you're looking forward to) to be automatically notified when the page changes. Similarly, I think that Overdrive (e-book and audiobook lending through public libraries) has a page where it lists the libraries carrying a given book. If you're hoping that your library starts carrying a given book, you could imagine following a page like that.
Another feature suggestion - maybe put in an option for a reminder to check back even if the page hasn't changed either on some interval or after some period of time. I could see using that as a tool to try to keep kickstarters and the like honest ("You said there'd be an update after 14 days, it's been 18 days, no update...").
From the name/HN prompt, I thought it'd be something that gave you updates as a story was developed. For example, you hear about a criminal being captured, but you don't always hear about the trial/sentencing. A few months later you're asking "What ever happened to that guy who..."
I had the idea when I was obsessively following MH370 and i'd refresh a page a couple of hours after reading it and try to work out what had happened in the time between.
If it gains any sort of traction and interest I'll absolutely expand its reach to offer watching a single storey across multiple articles and outlets.
I hoped when I saw the title that this would be a service to let me find out what happened in a story some time later. I often find 'developing' stories of great potential import seem to disappear from the world's media later on, and I never get to see how things actually turned out.
At some point they went away, I think RSS killed them, but RSS never seemed to work quite as well for me for some reason, too granular I think.
I'm really glad to see something like back again.