Looking at it, it does look like a diminutive of
cendre (
https://en.wiktionary.org/wiki/cendre#French), which you can compare the name's make-up with
Sandrine.
Which leads me to this next point - both Cendrine and
Sandrine are pronounced the same and if you look at this chart (
https://www.behindthename.com/name/sandrine/top/france?compare=Cendrine&type=percent), you would notice that Cendrine came to be used most often when
Sandrine was at its peak.
My PNL:
http://www.behindthename.com/pnl/149249'Maybe It Is Daijiro (aka
Maks)' blog:
https://maybeitisdaijirou.wordpress.com/'Beyond
Sakura and
Hiroshi' blog:
https://beyondsakuraandhiroshi.wordpress.com/My Twitter: @maybeitsdaijiro