According to the sources provided, shortness of breath is a rare side effect of Lipitor (atorvastatin) use. The drug patent watch website [1] lists shortness of breath as a less common side effect of Lipitor. Patient.info [2] also mentions that shortness of breath is a possible side effect of atorvastatin, but it is uncommon. In addition, a study mentioned in Peoples Pharmacy [3] found that statins, including atorvastatin, may cause pleural effusions, which can lead to shortness of breath. However, it is important to note that these side effects are rare and occur in a small percentage of people taking Lipitor. If you experience shortness of breath or any other severe side effects while taking Lipitor, it is important to consult your doctor immediately.

Sources:
[1] https://www.drugpatentwatch.com/p/tradename/LIPITOR
[2] https://patient.info/medicine/atorvastatin-tablets-lipitor
[3] https://www.peoplespharmacy.com/articles/statins-and-shortness-of-breath-pleural-effusions