I like the concept a lot, a little memory challenge can always be nice. The red light is very helpful to have some kind of orientation in where you need to move.
But i think a lot of player feedback is missing. You need definitely a sound when you are running into a wall (for the cases where you are out of the range of the light for example) Also footstep sounds to let the player know he is moving. Since the game is dark most of the time, it would probably be a lot of fun if you actually had different sounds for the objects you can run in (wood sounds for wardrobe etc, stone sounds for walls or something)
I also think it would be good if you had same fallback strategy for the cases when you get stuck, something like a light flare that you can use once per level. (Or reset button, but that would make the game too easy after a few restarts)
I would also make the player character a bit darker when the light is off, to give it more the feeling that you are actually in a dark room.