Thanks for all the input.
The application is QC. Its a production it can be manual operated if necessary. The screw is M3 rounded top screw. I am not sure of the based it can be plastic. The screen + washer is manually screwed so 0.7mm +/- perhaps 5%?
I like the idea of Laser triangulation, that was my first choise as well. Using a photo array but not sure of the parts to use. The mechanical mounting will be fixed and calibrated, meaning that once mounted a unit with the washer and without the washer will be plased on the platform to teach my board when its present and when its not. So the solution doesnt need to be exactly 0.1mm accurate even if its 0.5mm accurate it would be good enough. It would be nice to achieve higher accuracy.
Regarding ultrasound at 1MHz, I have seen it give 1mm accuracy but 0.1mm I have not so far seen it done, I could look into it, but with regards to cost the photo array might be a more suitable choice. Think I will build the circuit around a photoarray and see what happens, thanks for all the input.