I found these before the patches, not sure if they still work.

Curing large insect skip(I think it's patched, worked on v1.0): https://imgur.com/a/0R6Ozgs

You can use 1 of the insects to open the door to the top left of the area where you cure the big insect. then go down the elevator but leave the elevator relatively high. Put your spear angled on the wall. Collect the second spear and use the first spear to get up top. Put the second spear angled on the large door, then call back your first spear and have it angled above the second spear. Jump on these to get on top of the large door. Finally there's 1 more invisible wall so callback your spear and place it on the ground to get over.

By angled I mean have the spear be nearly flat with the wall and slightly higher than normaml. That way you can get the max height from it.

Bridge skip(Still works Patch 2): https://imgur.com/a/VcAZgzX

For this level you can use one spear (or 2) to get on top then use that configuration to get across. Make sure you bring one of the grey spears up with you. You need to be at the edge looking back to get the grey spear in the right spot.

Spike skip(Untested): https://imgur.com/a/PbAhzkE

I found that if you jump in the direction the spikes are pointing you're able to jump off them in a small window.

A minor skip, You can use just the first 2 gears to get this configuration. You then jump from the bottom of the second platform, begin throwing your spear downwards, jump off the spikes, due to the long throwing animation your spear then lands you jump off it and for some reason you can walk up the steep platform.

Mini Teleportation Skip(Fixed in patch 3 I think): After Completing the puzzle with 3 buttons the large insect will move right. Once it reaches it's destination the game will save. If you quit to menu and continue you'll get sent to that save which is at the levers saving ~12secs.