My vote is blue topaz. An inexpensive treated natural gem.
I’m guessing blue topaz, but it would be easier to visually id if the stones were cleaned. A little mild soap with a soft toothbrush should do the trick.
A fur clip sounds so luxurious and glamouse no matter what its made off
it reminds me of my grandma
its a gorgeous colour
if it turns out to not be topaz there are places on Esty that repair and restore coustume jewlery
Its too pretty to languish unworn for want of a couple of sparkles