This could probably just as well go in the main forums but I thought I'd start here.
I recently purchased a Speedmaster Reduced, the serial number dates it to 1998-2000. I've reset the watch twice now after noticing that the minute hand does not line up with the hours/minute markers exactly at the top of the minute.
Anticipating some of your questions:
1. I've lined the minute hand to the marker about as close as humanly possible, so it's not something I'm doing wrong as far as I can tell. The minute hand is not jumping when I restart.
2. It's not a problem that gets progressively worse. The hand lines up to the marker at about 15 seconds after the top of the minute every time.
3. This issue kicks in immediately after reset. Unless I'm imagining something (don't think so), it looks like the minute hand does not move for that first 15 seconds of the minute after reset.
4. The watch is keeping nearly perfect time otherwise. It loses less than 1 second a day. (Side note: when I first got the watch I was winding it and that turned out to cause the watch to lose as much as 10/11 seconds a day. Since I stopped winding it - I was probably over-winding - the accuracy is amazing)
One of my ideas that I haven't tested yet, is that the watch wants to be reset at a different position than I've reset it but I don't know if that matters or makes any sense. I also thought that it could be an issue with the alignment of the face but I can't logic that out. It may just need service but the fact that it's so accurate seems to dispel that theory.
The issue is a minor annoyance only. The face of the watch is small so I really don't notice it if I'm not thinking about it. But it is a puzzle I'd love to solve if possible.
Here are two photos showing the issue...
Minute hand position at the top of the minute:
Minute hand position at 15 seconds after the top: