Lipitor, a medication commonly prescribed to manage high cholesterol levels, is associated with several side effects. However, the sources provided do not directly mention the side effects of Lipitor when used in conjunction with high-fat diets.

According to the information from WebMD [${2}], common side effects of Lipitor include:

1. Muscle pain
2. Liver damage
3. Kidney damage
4. Digestive problems
5. Abnormal blood tests
6. Cold-like symptoms
7. Sinus problems
8. Cough
9. Dizziness
10. Numbness or tingling

The National Center for Biotechnology Information (NCBI) [${3}] states that Lipitor, a statin drug, can have side effects such as:

1. Muscle pain and damage
2. Liver damage
3. Digestive problems

It is important to note that high-fat diets, particularly those high in saturated and trans fats, can increase low-density lipoprotein (LDL), or "bad" cholesterol levels [${1}]. This can exacerbate the condition Lipitor is prescribed to treat. Therefore, maintaining a healthy, balanced diet is crucial when taking Lipitor.

In conclusion, while the sources do not explicitly mention side effects of Lipitor when used with high-fat diets, it is important to maintain a healthy diet to manage cholesterol levels effectively. As with any medication, if you experience unusual symptoms or have concerns about side effects, consult your healthcare provider.

Sources:
[1] <https://www.drugpatentwatch.com/p/tradename/LIPITOR>
[2] <https://www.webmd.com/drugs/2/drug-3330/lipitor-oral/details>
[3] <https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6626641/>