While I'm sure you can catch plenty of bass with a chatterbait using a fast action graphite rod, I believe over the long haul you will hook more with a rod exibiting a more parabolic action. I base this on observations of missed fish in shallow clear water. The delay that the glass rod provides seemed to let the fish get the bait deeper while the fast action graphite rod seemed to pull the bait away from the fish before they had it fully in their mouths.
The trailer you use can make a big difference in a CB's action. I personally like to use paddle tail swim baits, Super Flukes and Flukes and LFT Magic Shads. Paddletails have a great action and provide drag on the end of the CB which seems to tone down its thump somewhat, super flukes, flukes and Magic shad have a nice action and really look good when the CB deflects off of weeds.
I retrieve a CB somewhat like a spinnerbait, which is to say I almost never just retrieve it straight in. I am continually stopping, starting twitching and speeding it ip. So the action I give it is quite erratic. It works for me, it may not for you.
Good luck, I'm sure that you will figure out what works in your area and will be very successful using them.
The CB's with blades directly attached to the hook seem to exibit a more high speed buzz, whereas those attached with split rings seem to give more thump. The split ring attached balded CB's seem to "hunt" much easier than the others.