I just found the "Google Web Alerts" thing. What's it good for? What kind of things can you do with it? What's it all about?
Since the SERPS are updates continuously its not really good for search queries. The best I have found are using the link:yoursite.com, which will tell you when backlinks are updated, also you can copy the search query for your sites cache in google if you want to know when the cache is updated.
On my Google Alerts, I have my name, my username, and my website domain. I haven't tried entering a search operator such as site: or link:. Not sure that would be accepted as a valid entry.
Have you experimented with Google Alerts at all, jestep? or were you meaning that you generally check with Google yourself by using the link command?