Apparently it's become so commonplace among pets that my dog's veterinary insurance policy specifically has an exclusion saying that our pet insurance does not cover cloning. I just googled "Dog Cloning" and there were a bunch of results offering the service.

Oh wow that really is a thing!

Why be sad for your dog’s death when you can just clone him.

I loved my chosen. How then could I accept the day she died? So I took from her body a single cell - perhaps to love her again.

--Commisionner Pravin Lal

(Sid Meier's Alpha Centauri, when finishing The Cloning Vats secret project)

Wait... this was RePet from Total Recall.

The sheep was named Dolly, after Dolly Parton, because the cell used for cloning was taken from a mammary gland.

https://en.m.wikipedia.org/wiki/Dolly_(sheep)

> "Dolly is derived from a mammary gland cell and we couldn't think of a more impressive pair of glands than Dolly Parton's."

Don't know about the second question, but I think you are thinking of Dolly the sheep:

https://en.wikipedia.org/wiki/Dolly_(sheep)