Where is it interfering, at the barrel because the bullet extends from the front of the cylinder? If this is the situation (I doubt it) then seat the bullets deeper.
Look at the head of the cartridges, is the primer flush, below flush, or does it stand slightly above the case head? If it is high, seat the primers deeper.
If the primers are flush or below, watch as you close the cylinder to see if the case heads are interfering with the breech face. If they are then try some cartridges in the cylinder without the moon clips. If there is still interference with the breech face you need to trim your brass.
If there is interference with the clips and none without them either the clips are too thick and you need to try another brand, or the back of the cylinder is too long and there isn't enough clearance between the cylinder and breech face for both the case rim and the moon clip. If this is the situation send it home for a tune-up under warranty, be sure to thoroughly describe what is happening throughly.
It has to be one of these, figure it out.