Patience is the mainstay for growing peonies from root. You might get some growth with leaves this season but you won't see major growth or blooms for years depending on the size of the roots.

I moved the soil around a little bit. I saw little white specks on the roots that I'm assuming is the start of roots and I saw a couple of small white buds that I'm assuming is new growth.

Digging up a plant to see if it is growing roots is a good way to lose a plant that might have survived. Al