Anecdotally, I see enough mechanical watches on wrists and in duty-free shops that I imagine there's enough of a pipeline there for at least one school. Much like vinyl records it doesn't appear to actually be going away even if it's superfluous.
https://www.youtube.com/watch?v=yH3MtWln2Og
(ages ago, I was in touch with a person who described himself as "the last hand engraver in New York City" when considering an apprenticeship --- couldn't commit to the move --- always wondered if he found a successor)