Gluing wood to acrylic glass worked quite well using a 30 minute epoxy. Then I engraved the numbers with a 1.2 mm spiral toothed endmill. I cut only through the veneer, leaving the acrylic glass nearly untouched. You can imagine I was happy that the counters did not come loose. I engraved the circle of the outer perimeter to ensure that the veneer wouldn't get hurt by the next step.
The acrylic glass has to be cut using distinktive parameters: you need to go fast while cutting very shallow. My Sorotec Basicline can do this really good. A 4 mm single flute endmill had enough reach to cut through. Then I flipped the piece to make the recess for the clockwork and the led-strip.