To steady your hands, point a finger down the shaft
Good, crisp contact on chip shots is something that leaves even accomplished players now and again. Here's a simple trick to reclaim the proper action, or even feel it for the first time.
Take a traditional putting grip with both thumbs pointed down the top of the handle. Then extend your right index finger down the grip--if you choke down, it's OK to have your fingertip resting on the metal of the shaft.
From here, your only job is to keep that finger pointed back throughout the entire chipping motion (above). This will help you maintain the correct wrist angle through the ball. If that finger applies any pressure against the grip, it will flip forward and point at the green, and that's bad. It means you're scooping the ball.
This is a great way to practice chipping. And if you really like the feel, there's no reason you can't take it to the course.