Crassula ovata Hobbit has much larger leaves (nearly the size of normal Crassula ovatas) and they are merely folded in on themselves, not completely tubular and flat-topped as is Gollum. Your plant is indeed a Gollum. Here is a close up of Hobbit

Just couldn't resist posting more.. Saw these in a nursery near my place. I'm assuming these are "skinny" finger jades, since there are more narrower on the tip. I had to try so hard to hold myself back from buying more, since I already have one at home. I should nurture it well before investing in more.. I had to go through the judgement of my partner, saying that, I need to control my obsession. lol

Putting some mixed medium underneath will not help, it could make it worse since that part will dry up faster, making it look like it is time to water. Either repot into well mixed medium or leave it - as I said, I can't see the soil it is in. If it needs improvement, you shouldn't be afraid. It is much better to improve conditions (if they need to) than leaving plant in not-so-good conditions - be it soil or light or whatever. Keeping plant excessively dry is not going to help either: succulents need to be watered thoroughly when mix is almost completely dry. Water should drain freely from the bottom of the container. You can help yourself by using a bamboo skewer or chopstick: insert deep into mix (at least 3/4 deep). Leave for few minutes. Take it out - if dry and clean = time to water. If stick feels dam/cold and may have some particles sticking to it, there is still plenty of moisture. Succulents usually recover much better from underwatering than overwatering - but there is no point of stressing them excessively if at all possible. Moving plant into sun for 30 min/day is not going to help either: acclimatizing it slowly to hours a day is the way to go. Best way is to start setting plant in early morning sun for a while with dappled shade for rest of the day. Move it to more sunlight every few days. I take all succulents outside in Spring, and they stay in full sun, whole day. Our Summer temps are lower than San Diego, but it gets warm in Summer. Jades are South African plants and look best if grown in proper light.

I assume it isn’t limp...right? I don’t know how you repotted, but...Personally, I would repot in a clay pot, the azalea style which is about as wide as tall. This style pot is a very stable and has weight compared plastic. Not sure what you used of course. Use a fast draining mix of half commercial c/s mix and sifted perlite or pumice. You need a fast draining mix, avoiding leather. What mix are you using? Put outside as soon as warm enough so it gets lots of sun. It should be ok. I would not clip anything off. Your plant has a nice shape and needs those leaves to grow. I wonder if the plant was a cutting when you got it and it’s just starting to put out its roots. I think your plant will be fine. Buy kitty a new scratcher to distract. Although I don’t think she’s hurting the plant, you could put something to the side of it to keep her away. You don’t want her to knock it on the floor