They only ever move vertically, and can control how far they drop based on where the Spelunker is. They are easily dispatched with well-timed attacks.
If they are stunned by the Camera, hit with a broken arrow or shot with a Freeze Ray right when they are suspended above the ground, they will fall to the ground and behave just like regular spiders.
Their webs can cause issues in a speedrun and will leave projectiles stuck in them even if said projectile kills the spinner spider residing within.
If you try to move a spinner spider while it is lowered by moving a crush block into it, it will stay in it's current animation and not move. This does not always work, however, as sometimes the spider's web will just break.