After looking at the screenshots, I had a better idea. From my understanding, it's a feed of the actions happening on your website. So, rather than having a "Facebook feed of latest news from your friends", you have a "Feed of latest actions on your website".
Again, from my understanding, the way it works is by providing an API to the developers. Basically, for every actions on my website, I'd send an API call to lessneglect.
I think I like it.. mostly because I find it's very hard to follow my users across my websites to know what's happening. I use external tools such as Google analytic and mixpanel.. but even then, it's more of a "stats" page than a real feed of what's happening.
I think the homepage has some cool UI effect but the important messaging is missing. I'd cut the "Turn upside-down" or "Less Neglect is web software that takes the job of supporting customers to the next level.".