Basically, you are resetting the clock when you tap a dollar sign above a building in your neighbor's town. The building will then pay out faster than normal for you neighbor after they tap on it following your visit. So it helps you neighbor earn cash and xp faster if you tap on buildings that take a long time to pay out like Mr. Burns' house. Also, if you spray paint buildings, you are giving your neighbor a chance to make money when cleaning it up on a building that doesn't pay out money or Xp.
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