Is there an option to follow a question asked by another user? I would like to get a notification every time a new comment or answer is posted.
The closest thing to this we currently offer is an RSS feed for every question:
You can follow the feed from there, and get notifications with whichever feed reader you have. It should be updated with edits and answers, but not comments.
Other than that, you can also favorite a question, and it'll be highlighted on your favorite posts tab anytime there are updates to it (again, comments will not count as updates).