Looks like a Graptoveria or Echeveria.
You say you almost killed it, so it's growing back from what was probably the point where it was cut back.
They need open, gritty compost in a sunny position. Does your pot have drainage holes? If not I would take it out of that one and put in a smaller plastic pot which fit into your ceramic one. Root rot is a big cause of loss from overwatering for these plants.
