Definitely not Elephant bush - that would be Portulacaria afra (it is not jade plant as sometimes called).

Leaves and coloring look like C.o. 'Tricolor' - but quite unusual form...so compact, is it possibly a crest of some kind? Just guessing here.

How long do you have it and how is it grown - light, watering, indoors or out, fertilizing and so on? Can you post photo from different angle pls?

(PS: soil looks quite wet...is there a drainage hole in the container? )

Pot also appears to be on the large size for the plant, can't see its depth, but judging from the width there must be a lot of 'empty' mix in there....and as it's moisture laden as already pointed out that means more potential for root rot problems. Best if to repotted into something more free draining..suggest 50% each of perlite and c/s mix, or my own fav which is 30% each of perlite, aquarium gravel or similar, and c/s mix. Agree is looks very crassulaesque....that's a good word isn't it! :-)

Great word - crassulaesque!

Your plant looks like a crassula obliqua variegata.

Thank you for your response!

Yes it is very compact and the leaves are so thick! When I bought it, it had been growing in dense mushy potting soil and was soaked all the way through, had some green algae or moss growing on the soil, so repotted in soil with better drainage.

Since I got it (1 month ago) I don't water much, especially because there is no drainage hole in pot. It is indoors, no fertilization. It receives a lot of bright indirect light all day from large unobstructed West facing window and a couple hours of direct light.

lockygirl

I am surprised how good it looks growing in what most of us would say is not recommended: no drainage; soil looks really wet - first impression would be that is too water retaining. But you say otherwise...

Leaves are unusually chubby (at least to me) - they look great, and nice color. I would give it more free draining mix...would be afraid that it could start rotting. Hope it doesn't - would like to see progress pics.

Has it grown since you got it? (these seem to be slower growers than regular green crassula ovatas).

Don't worry, I have 27-30 varieties of cacti and succulents in my windowsill at work (another 20 varieties in my home...I am addicted) and they have done great over the past 2 years with the soil mix that I prepare even in the small pots. No root rot except for one that I got because it was already dying in the store and I thought I might save it.

Yes, the plant has grown slowly since I got it, mostly small new leaves out of the center of where there are existing leaves, however, I also do see two tiny leaves starting to poke out from the main stem. I can update when there is a visible difference overall.