The instant I saw Spirefall I fondly remembered Nebulus, a 1987 platform game for the Commodore Amiga and other home computers of the time in which your character must walk all around a cylinder-shaped tower that has ledges on the outside.
Created by Pixel Hunter Games and released by Gameblyr, Spirefall has your character, a cute cat, moving left or right in such a way that it always stays in the centre of the visible screen because the spire turns clockwise or counterclockwise with a convincing sense of depth — again, much like in Nebulus.