Based on the information available, there is a potential connection between higher doses of Lipitor, a medication used to treat high cholesterol, and dizziness. However, it's important to note that dizziness is not listed as a common side effect of Lipitor in the drug's FDA label [1].

Lipitor, also known as atorvastatin, can cause side effects such as headache, nausea, and diarrhea [1]. However, more serious side effects such as memory loss, confusion, and dizziness have been reported, but these are less common [1].

The likelihood of experiencing side effects, including dizziness, may increase with higher doses of Lipitor [2]. A study published in the Journal of Clinical Pharmacy and Therapeutics found that the incidence of adverse events, including dizziness, was higher in patients taking higher doses of atorvastatin [3].

It's also worth noting that Lipitor can interact with other medications, which can increase the risk of side effects [1]. Therefore, it's important to inform your healthcare provider of all medications, supplements, and herbs you are taking before starting Lipitor.

In conclusion, while dizziness is not a common side effect of Lipitor, higher doses may increase the likelihood of experiencing this side effect. It's important to speak with your healthcare provider if you experience dizziness or any other unusual symptoms while taking Lipitor.

Sources:
[1] FDA. (2016). Lipitor Label. Retrieved from <https://www.accessdata.fda.gov/drugsatfda_docs/label/2016/020990s053,021103s025,021110s025lbl.pdf>
[2] DrugPatentWatch. (n.d.). Lipitor Dosage. Retrieved from <https://www.drugpatentwatch.com/drugs/lipitor/dosage/>
[3] Henein, N., & Saseen, J. J. (2011). Comparative safety and effectiveness of atorvastatin, rosuvastatin, and simvastatin: a systematic review and network meta-analysis. Journal of Clinical Pharmacy and Therapeutics, 36(5), 523–538. <https://onlinelibrary.wiley.com/doi/abs/10.1111/j.1365-2710.2011.01283.x>