The Tower Glove has a blue light that shines onto the surrounding environment, but it doesn’t disappear after switching hotbar items. However, it disappears properly upon unequipping the glove.
Pull out the Tower Glove, and then switch to a different hotbar item.
The Tower Glove light disappears.
The Tower Glove light remains, but slightly shifts locations.
It’s not really visible unless you’re standing next to a wall.