The easiest mistake in the world to make is to decelerate into a short chip. You see it all the time with longer handicappers, and reader, yes, I have to hold my hand up at having made my share.
It doesn't matter how short the chip, you have to hit the ball with authority. The oldest advice in the book applies here in that you can't be too eager to look up and see where the ball has gone.
So keys to good chipping are to shorten your backswing and accelerate into the ball. Also make a point of watching the turf after your shot until you hear the ball land. Chances are if you hit it with authority it will be running out close to the hole.