I recently discovered the "My Citations" feature on Google Scholar. It is kind of neat. You set up a profile with a list of your papers and then Google Scholar finds, counts and lists many of papers which have cited each of your papers. Listing my papers was easy as Google had already grouped most of them together and I just had to add the whole group and then delete a few interlopers (you would think Google would realize a paper published in the 1700s didn't belong with the others even if it was also written by James Shearer). In order to make your profile public (so it shows up when you search Google Scholar for your name) you need a verified email address at an academic institution. This was a bit of a problem for me as I don't have a current academic affiliation. But then I figured out as a MIT graduate I could set up an email address at alum.mit.edu which would just forward email to my personal account. After I did this (and waited a day for it to take effect) I was able to use it to pass Google's verification and make my profile public.
When I was at IBM I tried for a while (until I lost interest) to keep track (via Science Citation Index) of papers citing mine. This is much easier. And Google Scholar seems to be pretty good at tracking down free online versions of published papers. It is interesting to see that the number of people citing my papers each year has been trending upward although I haven't been producing much in the way of new papers for a long time. However I suspect this is mostly because the number of papers being published each year has also been steadily rising.
In summary this seems like an interesting and worthwhile feature. It does depend on authors setting it up for their papers. At the moment many haven't but hopefully more will over time.