There is an old thread here that shows a YouTube vid of how to remove the EtaChron stud from the stud support, which I think is a bad idea, as there is too much downwards pressure on the stud support when using tweezers. It can be done that way, but isn't ideal, especially when working on a clone movement where the stud support isn't as strong as an ETA movement.
I put a lesson together for my class at https://efhc.org.uk/wordpress/index.php/centre-facilities/ to show how to do it without risking damage to the stud support and how to save over £60 making your own tools to perform this task (That's another lesson on hardening & tempering, if anyone is interested)
Here's the PowerPoint presentation. The video's within the presentation are marked in the top left hand corner of the slide 'Video'
Enjoy...
Lesson 7. EtaChron adjustment & regulation.pptx