Based on the information available, it is not explicitly stated that Lipitor, a medication used to treat high cholesterol, can reverse liver damage over time. Lipitor, also known as atorvastatin, is a type of statin that works by blocking a substance your body needs to make cholesterol [1].

According to the U.S. National Library of Medicine, Lipitor can cause liver enzyme abnormalities, but it is rare for patients to experience symptoms [2]. If liver enzyme abnormalities are found, the patient's Lipitor dosage may be reduced or the medication may be stopped altogether. However, there is no mention of Lipitor's ability to reverse liver damage [2].

DrugPatentWatch.com does not provide information on the topic of Lipitor's ability to reverse liver damage [3].

In conclusion, while Lipitor can affect liver enzyme levels, there is no substantial evidence or information suggesting that Lipitor can reverse liver damage over time. It is crucial to consult with a healthcare provider for personalized medical advice.

Sources:
[1] Mayo Clinic. (2021, February 12). Atorvastatin (Oral Route) Description and Brand Names. Retrieved from https://www.mayoclinic.org/drugs-supplements/atorvastatin-oral-route/description/drg-20064536
[2] U.S. National Library of Medicine. (2019, April 15). Atorvastatin. Retrieved from https://medlineplus.gov/druginfo/meds/a601263.html
[3] DrugPatentWatch.com. (n.d.). Lipitor. Retrieved from https://www.drugpatentwatch.com/drugs/lipitor