Mr. Li's Moxibustion Clinic is a moxibustion clinic owned by Mr. Li, which appears only in Hank's Unmentionable Problem.

When Hank suffers from constipation, he and Peggy go to the Heimlich County Medical Center, where Dr. Morley, a proctologist, and Tasha, a medical student, preform a sigmoidoscopy on Hank.

After the procedure, Dr. Morley explains to Hank that he's unsure what's causing his problem, and that the best option, much to the dismay of Hank, might be to have surgery, due to the fact that his diet has been ineffective. Hank and Peggy agree that Hank should give his low-fat, high-fiber diet a little more time.

Later, Hank, Peggy and Luanne, arrive at Soy To The World, and purchase some Faux Fu, which according to the deli clerk, is a "tofu substitute for the tofu-intolerant." and a quart of brown rice broth. While there, Luanne confrants Hank at the deli counter, and shows him an advertisement she found in the store for moxibustion at Mr. Li's Moxibustion Clinic. As Luanne excitingly reads Mr's Li's advertisement, she explains how it says his moxibustion "relieves stress and opens energy channels." Hank, confused as well as uninterested, asks for an explanation of what moxibustion entails, and Luanne tells Hank that they stick needles in your skin and set them on fire. Hank then sternly explains that if anyone ever tries that on him, he'll kick them in the rear.

While Hank continues to struggle with constipation that interferes with his everyday life, he eventually decides to go to Mr. Li's Moxibustion Clinic. During the moxibustion therapy, Hank sits up, and realizes that he has multiple, burning needles stuck inside of him and becomes infuriated. Hank then proceeds to angrily kick Mr. Li in the rear.