Aloha Chimpiphant,
Work on the cat as you would anyone else. And yes, "clearing the area/organ" means breaking up, removing, and giving energy.
As for working on more than one area in a session, Chunyi doesn't go down the "it's too tough on them" road. You are balancing their energy, and their body will take on that which it wants to, and ignore the rest.
Work with the areas Chunyi mentions, but rely more on your detection and the blockages you find in the cat. Chunyi's "how to" is what he has found to work well in similar cases, however, you may find a blockage in left-side stomach during your detection, which may be the root blockage that needs to be cleared.
Much Love, Shawn