Dial test Indicator
The best resolution mechanical dial indicator I know about is the Mahr 1002 Supramess. However, it reads 0.0005 mm, not 0.0001 mm. Mahr does make a digital indicator with a resolution of 0.0002 mm, the Extramess 2000.
In my experience, for sub micron indication, one uses an inductive measuring probe (aka "Gage Head"), often good for 0.000 02 mm or better, and a gaging amplifier. See the Federal 832 and compatible gage heads.
I have no affiliation with Mahr or Federal other than satisfied customer.