Brilliant, I totally loved this idea! If that's not an innovative way to tell story through gameplay, I don't know what is. Couldn't put it down until I had solved the puzzle. Had a great time chasing the pieces of dialog and put together the tale. The combination with the two orbs was great, too - suggestive enough, leaving space for imagination. I did spend a good amount of time shifting the pieces around on the board, admittedly. The winning combination seemed something I had tried already, but apparently I had misplaced something...
It took me a while to figure out how the mechanics work. I did complete the dialog very mechanically in the end, by picking a floating text, moving the arrow back and forth to find the right time, then assigning by trial and error to one character or the other, until it was shown as correct. By the third act that became a little tedious, because there were so many pieces of text to collect and a long timespan to scrub. Also, I was stuck at the end of the first two acts for a while, because I was missing one hidden piece of dialog, and didn't even realize it - the conversation seemed complete, and I was unaware that there would be another part coming.
Again, great submission, I'd love to see a refined version of this!