Hi Creamsicle,
It looks like a type of sedum to me.
Marianne

That was my first reaction, but I thought sedum was sun-loving. This stuff is clinging to the shadows. I'm going to water and feed it. Love the look. If it turns out to be something else, I just hope it doesn't take over the whole neighborhood. :)

In a little while it will be covered in tiny yellow blooms.

I have it too. We always called it "Grandma's moss", because my grandma liked it and mine came from what she had.
Of course it's not a moss, it can get a little out of hand, but easy to control.

That looks like Sedum acre, often called Goldmoss or Yellow Stonecrop. It's invasive in some areas, but not ours as far as I know. I have some growing in pretty deep shade under hickories and cedars, although it usually wants more sun than that. It lives a long time as long as it doesn't stay too wet in winter, and I expect the trees have gotten bigger and shadier since it was planted, which was long ago.

Marty

Absolutely Sedum. I am not sure of the exact species. It does has yellow flowers, and grows anwhere. I grabbed a handlful about three years ago from in front of a restaurant I like to eat at. I threw it on the ground, and
it started growing.Last year I did the same.I grabbed a
a handful, and dropped it under a huge Oak tree in the front. This Spring it is growing everywhere. it can become invasive, but easy to yank out,if it becomes a problem.
I wish everything else was that easy to grow. Lol

The beautiful little yellow blossoms started just a few days after my post. It's so pretty - and fills some spots that would otherwise be bare. I need to fill in some places under one tree where it's not full...it's good to know I can yank some from elsewhere and stick it in the ground there!