Answer:
It is an arctic double breasted formal wear.
My first is nothing but a name; my second is more small; my whole is of so little fame it has no name at all.
Whoever makes it, tells it not. Whoever takes it, knows it not. And whoever knows it wants it not
What flares up and does a lot of good, and when it dies is just a piece of wood?
Blend a teapot shot so the pearlies won’t rot!
What is so fragile that saying its name breaks it?