Generally speaking, rhipsalis can be hard to ID, let alone one without a photo. Try www.rhiipsalis.com or the Cacti & Succulents forum. Good luck.

Okay I found my camera charger. My best guess so far is E. clava but the leaves are wrong. The stem matches a young clava, from what I can tell, but... Clandestina is also sort of ballpark. Both of those have more pronounced tubercles and leaf scars, though. And different thinner leaves, for that matter.

Cristate Echeveria, I think, and yes, you can propagate it from leaves.

HI MrsV, Nice pix, plant looks healthy. Your ID so far sounds good. I don't know this particular plant, but it's definitely a jungle cactus, not an arid land cactus. Since no on had answered yet, I wanted to let you know you're on the right track & to switch its care to that of tropical, epiphytic cacti like you seem to have found yourself.