Yes, constant fatigue can be a side effect of Lipitor (atorvastatin), although it is not a commonly reported side effect. According to the Lipitor medication guide, fatigue is a possible side effect, but it is not listed among the most common side effects [1]. However, individual experiences with medication can vary, and some people may experience fatigue or other less common side effects. If you are taking Lipitor and are experiencing constant fatigue or any other side effects that are causing concern, it is recommended that you speak with your healthcare provider [2].

Sources:
[1] Lipitor (atorvastatin) medication guide. Retrieved from <https://www.lipitor.com/important-safety-information>
[2] DrugPatentWatch.com. Lipitor (atorvastatin) side effects. Retrieved from <https://www.drugpatentwatch.com/drugs/lipitor>