I have been coming across many interesting questions on this site, for which I really like to know the answers; but, there is no way (at least I'm not aware of) to get notified when answers are posted to those questions.
You can subscribe to the rss feed of a particular question:
This way you will get notified by [include favorite rss reader].
You could get the StackStalker Chrome extension on the Chrome Web Store. Although I haven't used it, it appears to do what you want.
Rather than having to subscribe to an RSS feed for each question, a "Subscribe" button could aggregate all question subscriptions into a single RSS feed on each user's profile page.
This way, subscription to that user-specific RSS feed would be all that's required. And we wouldn't keep overflowing feed quotas for services like Feed My Inbox.