Is it possible for any user to be able to tag threads made by others?
What do you mean tag threads? You shouldn't need to tag a thread, its already extremely easy to just copy and paste a link to it.
No, I mean for any user to add some sort of anonymous comment at the bottom in the form of a tag.
For example. Thread is made. Any user can tag it at the bottom. One user tags it " good thread" other tags it " boring"