I removed the nut on my flywheel today to add a Steahly flywheel weight. I know for sure the direction of the nut and used a impact to knock it off. I'm going to copy the installation instructions from the Steahly Flywheel Weight because it will work for removal/install on your clutch basket. Use one of the ideas below to keep the flywheel assembly (crank shaft) from turning when you loosen the nut. Some of these methods could cause damage if you are not careful.
A. Use a Steahly Engine Lock Up Tool, part # E-3, for most two strokes up to 380cc. It screws into the spark plug hole and the piston hits the plastic tip, which stops the flywheel rotation.
B.Use an air powered impact wrench to quickly spin the nut loose. However, it will not allow accurate torque when tightening the flywheel weight and may cause damage to the flywheel weight.
C. Remove the spark plug and bring the piston up to about one inch from top dead center. Feed in a few inches of rope (leave some hanging out so you can pull it back out). Make sure that the rope does not go into any of the cylinder ports. Now slowly turn the engine over compressing the rope between the cylinder and the head until the flywheel stops turning. Use only smooth torque action while loosening and tightening nuts. Do not use hammers or breaker bars.
D. Put the transmission in high gear and hold the rear brake on. Be careful, if you get too rough you could break your brake caliper bracket.
D did not work for me, but B and C did. I think this would work for the clutch basket.