If your odometer number wheel became dislodged, it could be that the retaining blade clip popped off...
As for lubricating the plastic gears, I use a paraffin-based chain w-a-x. Works well.
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Virginia Beach, Virginia, USA
2015 Ural cT "Mobile Chernobyl", 1999 Ural Tourist "Desert DisGrace: the Iron (Oxide) Curtain", 1994 Honda VFR750F, 1986 Yamaha FZX700S Fazer
2007 Honda VTR1000 FireStorm (Super Hawk in U.S.)
2001 Buell Blast! - - - - - - - 2005 Yamaha FJR1300
1993 Honda CBR600F2 - -1984 Yamaha FJ1100
1986 Yamaha FZX700S (a different one than above)