Regardless if you go the route of buffing to a higher sheen, or sanding flat for a bit of 'tooth' applying some layers, and buffing again, you are potentially opening up a huge can of worms. If this is a newly finished uke, or you know it's entire history, let the original finisher do this for you. If you are a professional finisher, it is possible that you might find some surprises. If you are not a finisher, you may get lucky. Also, it may not be possible to get the level of clarity you are looking for do to the flatting agents in the existing finish. If you like this instrument, be careful. Really, even with buffing there is some danger, as if the instrument has been buffed ( likely by the original finisher who knows how thick the finish is, and how vigorously it can be bufed) you may not be able to tell how thick the finish is near the edges, and once you burn through, it is too late.
If the finish is satin, and well rubbed out, using some fine finishing polish may do the trick...
Caution....!
Might be better to add another uke to the collection, and either keep this one, or let it go..