What does it mean when your dishwasher air gap dispenses a little stream of water, not unlike a teeny tiny waterfall? Although somewhat sensorily pleasing, this could be caused by blockage in the dishwasher drain line.  

This is most commonly caused by food and grease backed up over time, or possible areas of slack in the drain line where waste can accumulate.  If you’re comfortable disconnecting the hose between the disposal and air gap, you can give that a shot and see if it flushes out.  If that doesn’t work, I would recommend having a qualified plumbing contractor or handyman come in and take a look at other possible causes/fixes.