When chipping or putting it's always best to keep your hands quiet or passive. Your hands can be twitchy and under pressure they can let you down - leading to sculled, thin or fat shots - or pulled or pushed putts.
You could use more shoulders, except I find that it reduces your feel or touch and it makes it hard to judge distance.
So, if can't get too handsy and your shoulders reduce feel - what to do?
I have a solution - focus on your left elbow. Instead of using your hands or shoulders to control the club or putter - use your left elbow to move the club back and release it through impact! The benefit of the left elbow is that it's not twitchy like your hands - so you can trust it. It also has more feel than your shoulders - so your distance control and touch will be great.
Try it - I guarantee it will shave strokes off your game!