The second picture show the design flaw of the holder. There is a lip on one side, but none on the other. We are going to fix this with Sugru.
Step 1: Cut Off Small Piece of Sugru
Step 2: Knead Sugru to Match Width of Chuck Key Holder
Step 3: Fold Sugru Over Hold to Form New Lip
Step 4: Finished Product
The second picture show the newly improved chuck key holder mounted on the drill press.