See the DrugPatentWatch profile for lipitor

Yes, Lipitor (atorvastatin), a medication used to treat high cholesterol levels, can include severe dizziness as a side effect. According to the Lipitor medication guide provided by the FDA, dizziness is a potential side effect of the drug [1]. Furthermore, DrugPatentWatch.com lists dizziness as a common side effect of Lipitor, and in rare cases, it can be severe [2]. However, it is important to note that everyone's reaction to a medication is unique, and not everyone will experience the same side effects. If you are taking Lipitor and are experiencing severe dizziness, it is recommended that you consult with your healthcare provider.

Sources:
[1] U.S. Food and Drug Administration. Lipitor Medication Guide. <https://www.fda.gov/media/74330/download>
[2] DrugPatentWatch.com. Lipitor Side Effects. <https://www.drugpatentwatch.com/drugs/lipitor>