Classicwatch Vintage Watches

Can anyone shed any light on this JLC? Ref 2777 - P810 Movement - produced in limited numbers between 1952-1954. Memovox style center disc with pointer for the date. 34mm Case. Also has a quick-set button built into the crown. I was wondering how rare the watch is?

They made 9,500 of those movements, in a variety of case styles.