The saddle clamp & seat-post
Moving on - got a positive identity of the saddle clamp - it's a Pryma same as the saddle.
Just some advice to anyone who may need it, as there is probably a 99.9% chance an old French bike would have one.
These old style saddle clamps can appear a bit daunting and frustrating if you come across one for the first time; so including this here:
https://www.retrobike.co.uk/threads/birmalux-seat-post-help.429532/
The seat-post is a crazy light steel affair. Chromed and domed top. It looks rather rude to be honest, so no photographs to protect sensitive people. Wall thickness is bang on 1mm and it appears to have some damage and slightly bent and slightly crushed. There is name I can barely make out - something like Durifor or Dorifo. The name also serves as the insertion limit. Don't think I will be using it going forward.