Tradescantia.

T. pallida. It could use more light, in which case it should turn much more purple. It shouldn't be dangling so loosely, if you're looking for a more ideal specimen. The long ends can be cut and stuck back in the pot for some vigorous new growth. The cut should end in a node (where a leaf is or was attached.) The cut piece dies off about half of the times when I do this, but new growth from the roots it makes is 90+%.

Is that pot able to drip-dry when you water it? The house plant forum is where this kind of plant is usually discussed in detail, if you would like to do that, or look for other discussions about it.