Forget about golf for a second. If I handed you a stick and asked you to move a rock on the ground, would you wave your arm at it or hinge your wrist and give it a whack?
If you struggle with chipping, you've probably had so many people tell you to keep your wrists quiet that you're overcorrecting--to the point where you're shoving the handle with your arms instead of swinging the clubhead. It takes only a tiny flick of the wrist and a gentle body pivot toward the target to hit great chip shots.
Here's a drill: Hold a club upside down and practice gently tapping balls with the grip end using a flick of your wrist (left). Now flip the club over and chip a few--and don't be afraid to use a little wrist action with your pivot.