I repaired many when I did an 18 mths stint in the standards room at Ferranti a long time ago.
From memory ( a long time ago ).
As stated you need a very clean, dry, score free spindle using solvents.
The only special tools other than good small screwdriver sets needed to dismantle are a couple of good sets of finger lifters. A small set for the main finger and a very small set for the revolution counter finger. These are literally miniature types of tyre levers with a small groove cut in to clear the finger spindle, 2 per set.
Depending on indicator model basic dismantle starts:
Remove Back.
Remove plastic rotating main screen either clips or screws.
Carefully lift each finger using equal pressure with lifters at 180 deg under each and lift of dial.
This usually reveals a couple of screws on the outer edge of the main gear train assembly that hold it to the indicator assembly. They allow rotational adjustment of the gear train assembly to mesh the main first contact gear with the linear spindle rack gear. Remove these screws and the gear train can be removed and further dismantling necessary of the gears and springs.
Remove the end fittings from the spindle and slide out.
Do all the cleaning and score removal necessary, check for free smooth movement in housing.
Reassembly is a reversal of above but: when you mesh the main small gear with the rack you will need to reset the preload on the main spring as follows.
Rotate the gear train so there is no mesh with spindle keeping the adjusting/locking screws lightly nipped. Very lightly refit the larger finger with the lightest tap just sufficient to rotate the gear train.
Wind about 4 complete revs to tighten the main spring and whilst then holding to prevent unwinding rotate the gear train assembly to mesh with the spindle and tighten the two rotational adjusting/securing screws. There should be minimal play twixt spindle and gear.
At this stage you need to check its operation. The spindle to be clean and smooth operation. The main finger should move promptly and cleanly and return to its zero point. You may need to play with the preload revs and meshing to get this right.
Remove finger.
Refit dial. Refit fingers by lightly tapping back down with a good small diameter flat ended punch, taking care not to bend the spindles.
Reassemble front.
Reassemble back.
No doubt there are others who may be able to correct if needed.