Nope, no easy way. You have to dig the chips out and wiggle the disc till it frees up. I use a big crescent at times to free up the disc. If your chipper clogs up more than usual the pull out the bed knife and makes sure it is rounded off and still has a sharp edge that is square to the disc knives. Bed knives need to hard faced and ground square or just replaced with a new one. Of course your disc knives have to be sharp too. That means change them when they are dull, some times it only takes a couple days to dull the knives. Never throw any thing in the chipper that has been swept up. Sweepings go directly into the truck. Adjust your bed knife for the propper clearence too, 1/16" to 1/8" (maximum) for our Bandit.
Some old Bandit chippers have a "water wheel disc". These try to throw too many chips at once and can clog easily. Ask your dealer for advice. Oh, and don't use the knife bolts and nuts once they go together too easliy.
Lift the feed wheels every so often and check for sticks stuck in the space between the wheels and the disc. The springs don't last forever either. Look through your output chute and check to see that no metal is bent and blocking the flow.