Thanks for all the quick advice. Very cool. Not being one to sit on my thumbs, I decided to dig in. I have pictures, but don't know how to post - I do know how to email pictures if anyone is interested. I don't know all the proper watch component vernacular, so I may make words up as I go along. I disconnected the bracelet and removed the case back with the sticky-ball-o-tape trick. At that point I was expecting to see the watch movement only to discover another cover.....that must be the rotor cap. I removed the cap with another ball-o-tape to find, indeed, the rogue displaced rotar. Being extremely careful and deliberate at this point, I removed the rotor and looked for fastening component like a tiny screw, etc. Nothing. Nada. Zilch. Looking at it, I'm not really sure what or where a fastening mechanism would play a role in holding the rotor in place(?). It appeared to me that the rotor just sits in place in the center of the mechanism in its obvious location and the center of the rotor (rotor hub?) acts as a stand off or shoulder that is held in place by the rotor cap. In turn, the rotor cap is held in place by the screwed on case back. Anyway, that was my rookie wack at it. Given that, I reassembled everything. The trickiest part was keeping the o-ring in place. To make a long story longer, one hour later the rotor is staying in place (after some exaggerated jostling) and making a faint, normally-behaved-rotor noise, the stem functions fine and the watch is still doing its job of moving the hands in the right directions with proper etiquette. Of course, I must have missed something or the assembly must have been missing something because there is still that nagging issue about a "screw".................?