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Not that I know of, unfortunately. (Here's one feature of SE2.0 I like: there you can sort the answers to a given question by Active, Newest, and Votes, so the most recently changed answer will be bumped up top if you use the Active tab. On MO I don't think such a feature is available.)
(As a side remark, I don't see the Example of Common False Beliefs thread being on the front page. Are you thinking about the Proofs Requiring New Way of Thinking Thread?)
There's one, slightly convoluted, way of finding the relevant answer, when the question is now active on the home page. Let me take the "Proofs Requiring New Way of THinking" thread as an example.
On the front page now, it says that it has been bumped up by user John Sidle.
Click on that user's name in the question, this brings up the user-page.
On the user-page, click on "recent". It shows what he most recently commented on and edited. Now browse through the list and find his edit to his answer for the New Way of Thinking thread, click on that, and voila!
In the questions category, you can list by chronology of asking (clicking the newest tab), chronology of last edit/answer (clicking the active tab), number of votes (where the common false belief question does indeed appear to be the highest voted question on this website). Cheers.
Which is why in my answer above I carefully specified "... when the question is now active on the homepage". :-)
Remember that edits on deleted answers are invisible to users below 10k, but still cause bumps. If you link to the relevant question here, a moderator or helpful 10k user can explain why the bump happened, if you have a pressing need to know.
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