If you search "Plakinidae" (a family of sponges) on Google, you'll come across a couple of photos of different sponges with similar stalactite-esque growth reaching down, so some sponge from that family would be my guess, but other sponges might be able to grow in similar ways too.
That's my guess. I'm still not certain it's a sponge, and even it is and I'm giving you the right family to work with, it isn't much for an ID. But it's my guess, and I'm sticking to it - particularly if the top and bottom where the "pillars" end have been/are growing more spherical.
That said, though, if no one here can positively ID it, you can probably reach out with these pictures to a marine research institution and ask/offer for them to take a look/sample.