There's currently no feature to do so, but I agree it would be very beneficial. You could suggest if in the new forum subsection.
I put a thread in that section:
https://bitcointalk.org/index.php?topic=588055.new#newIn all honesty it could be implemented rather easily. All the button would do would be to do 1 mysql query and display results.
Their is a 'show new replies to your posts". At the top of the page. That would be your best bet to find the info your looking for IMO.
With the addition of any replies from posts and not threads. To be completely honest, I don't even care if the "View Your Threads" button shows new responses to your thread(s). Even if it just listed every single thread, that would be fine as well. Looking through every single post of mine to even find a thread not copied down has become a pain within itself.