Old tile is a tile you've already revealed the terrain for. When you run away, the day ends, so it doesn't matter what type of tile you move to. (See bottom of page 15 when you run away you skip to steps that don't have you check for enemies)
thanks very much for the explanation! I see how the game doesn’t incentives you on going back to an old tile with anything interesting on it (no icon)! I got confused by reading previous comments here :)
Thanks so much! The game is so much fun and I can’t wait to move to Miru 2!