I don't know how people putt without it! I started doing it when I took the game up again after a 2-3 year sabbatical. Felt natural at that time. I forgot about that Allis saying. Nice one.
KenB, I'd recommend you go through a set putting routine for an hour or so somewhere. I use the Mickleson 'tee circle' technique, using my wedge or a bit of string to measure the distances and popping a tee in every few feet to make the circle. I take 10 putts from 9ft (three wedges) 6ft and then 3ft. Just go round the circle as many times as you have time for and keep count of how many you make.
Try it with your normal grip, and then the claw/pencil grip. If you make 30/30 3fters, 20/30 6fters and 15/30 9fters with one and 25/30, 15/30, 10/30 with the other, you'll know which grip to start using.
Try longer putts from 30ft and 40ft too. That was the achilles heel for this stroke for me. Inside 6ft it's really stable, but anything that needs a good roll, I was closing up on.