So I've added photos twice now but they're not showing up...

Thanks - got them up there in the original post now.

Echeveria. Might be something similar to 'lola', but nor sure on exact cultivar. Have one just like it though.

Thanks! Any tips on care? We seem to be doing alright with it but I'm always open to more ideas!

Also, any idea why ours is so spindly? We keep it in partial sun... all of the pictures I'm seeing when I look up that type (even Lola specifically) seem to be much larger and fuller with one rosette taking up an entire 4" pot.

i cant give you tips. Just slightly increasing the shade on mine, made it etiolated. It was elongated before, but the rosette itself stayed very compact.....

How much direct sun time do yours do well with?

Its in the same location, though now, some might be 5-10 cm to the left being more in the shade, and it has neighbors, some of which are taller so.... its in the somewhat north west , so about 3 hours a day? Like I said, etiolation started after i moved it>>.. The place they are in is fairly bright, but the weather has been more cloudy and humid so....

I don't know which one it is exactly, but it is etiolated. Even trailing plants (and I don't know if this is - all pics of Lola I have seen show rosette, without long stem) should grow leaves much closer together.

Partial sun is not enough. I would slowly acclimatize it to much more sun. Here are few of my echeverias that spend quite a bit of time (from sunrise until noon now) in sunshine:

In comparison, a different plant: it has tendency to grow longer stems. But leaves are closer together (and possibly could be even closer?):
Do not worry about air roots, many succulents grow them. If you want, you could behead your plant, leaving original stem with roots and few offsets on it in the pot, and re-rooting pruned off tops.

That pot looks too big for existing plant. (Pots my plants are in are no more than 4" diameter - maybe couple of them could go into bigger pots now. If I repotted them, it would be pot 1" bigger, no more). And if I may ask: is that perlite? Was it sifted before mixing with the soil?

Yes that is perlite in there - the mixture is 1/3 soil, 1/3 sand, and 1/3 perlite. I took that out of a hydroponic setup in my classroom that was no longer being used, so it wasn't filtered directly, but the fine dust that it would have initially had on it would have been long gone.

I think what happened is the lanky growth is from the hydro setup, which wasn’t strong enough by the looks of things, and the growth that’s the tight rosettes are from the actual sun. The new growth looks fine and are coloring up nicely:).

The red lines are where you can behead like Rina has said. The smaller three I would leave be for now:).

I thought there was something 'small/finer' there. Perhaps sand? Most ppl here do not recommend sand, unless it is really grainy - almost gravel.

Kara - I am assuming the potting mix is what came from former hydro set-up (maybe I misunderstood). Plant was a wedding favour if I read it correctly...

Yep, the perlite was from a hydro setup in my classroom where we had been starting citrus. The succulent came as a wedding favour in soil. The first transplanting after that put it in a 4" pot but the sprawling nature was letting it overhang the edge of the pot, which is why we transplanted into this bigger one so it had room to lay out. After we did that the larger rosettes on the top really started to broaden, and it was also when we put it outside. I'm assuming the 6hrs or so direct sunlight it gets now is what is doing it because the light isn't being filtered through a window now. It's definitely much larger now than it was probably 6 weeks ago when we did this. I can't really explain it because I know they don't grow fast, but the rosettes are noticeably wider.