"Botany. a prostrate stem, at or just below the surface of the ground, that produces new plants from buds at its tips or nodes."
Many grasses, and that clover, spread by those stolons although in my experience cutting them before they root and provide new growth often is not successful.

Some grasses are commonly planted by stolon, which are referred to as sprigs. The question was if anyone had ever done this and if they had any insight into how to do so successfully.

Transplanting "Clumps" works best, because there is plenty of vigor that allows those clumps to spread, via stolons or rhizomes.
I transplant Strawberry runners individually after the daughter strawberry plant has rooted.

I took a pile of stolons that had overgrown onto my patio and laid them in a bare spot in my yard. I added some starter fertilizer but no rooting hormone, and then covered them with leaves. This was in November. I figured it was too late, but I had nothing to lose since I wanted to trim them anyway. We went through a very cold period with below freezing temps every night and most days. Then for about the last week we have had unusually high temps and very wet weather. There are now two shoots coming up through the leaves. So I think they are very hardy and if planted correctly at the correct time, they would probably be very successful. I planted the stolons whole. They probably averaged about 12 inches in length. So I'm not sure how successful you would be cutting them to one node lengths.