rescued plant, maybe a sarcocornia or rhipsalis?
I rescued this one from a heap of trimmings - it was probably there because when I removed it from the original pot, the roots were teeming with ants. It seems to be making a comeback; it likes moderate watering. The growth at the base is new since repotting. But I haven't been able to make much headway with the ID, so if you know, please do tell!
I think you're close on the Sarcocornia. I found an image on Dave's Garden Website that does look similar - maybe compare it to your plant and see. As yours still looks like it needs some tender loving care to get it's youthful looks back, it's hard to tell.
Glad you could rescue it!