Distance control is critical on chips. A sharp, descending blow that repeats itself chip after chip is preferable to a wristly “flippy chip” every time.
For crisp contact and good distance control, think of moving your arms from hip to hip. When you flip your wrists, your arms tend to remain near the center of your body. Keep your wrists quiet and move your entire arm – and the clubhead – through impact.
My instructor stresses using the putting stroke (and grip) for chipping. This helps to ingrain the idea of keeping the wrists from breaking. Control of the distance is done with levels of acceleration through the ball. Stance is also pretty important – keep your weight on the front foot. It’s a little hard to do while chipping from the side of the green as one is usually uphill in such a situation, but it definitely helps. Otherwise, chunk city.
Chipping used to be one of the weakest points of my game but has significantly improved since following this advice.
I’m a bit odd: I use my full-swing grip for chips and putts too. I have no unique “putting” grip.