Based on the information available, there is no definitive answer to how quickly Lipitor alleviates joint stiffness. Lipitor, a medication commonly used to treat high cholesterol, is not typically associated with joint stiffness relief. It is primarily used to lower the risk of stroke, heart attack, and other heart complications in people with coronary artery disease, diabetes, or other risk factors [1].

However, some users of Lipitor have reported side effects that include joint pain and stiffness [2]. If you are experiencing joint stiffness and are considering Lipitor or are currently taking it, it is crucial to consult with your healthcare provider. They can provide guidance based on your specific medical history and current health status.

It is also important to note that Lipitor's patent expired in 2011 [3], which led to the availability of generic alternatives. This development has increased accessibility to the medication and may have influenced its cost and usage.

In summary, there is no clear or direct correlation between Lipitor and the alleviation of joint stiffness. If you have concerns about joint stiffness or any other symptoms, consult your healthcare provider for personalized advice.

Sources:
[1] Mayo Clinic. (2022). Atorvastatin (Oral Route). Retrieved from <https://www.mayoclinic.org/drugs-supplements/atorvastatin-oral-route/description/drg-20063095>
[2] Drugs.com. (2022). Lipitor Side Effects by Likelihood and Severity. Retrieved from <https://www.drugs.com/sfx/lipitor-side-effects.html>
[3] DrugPatentWatch. (2022). Lipitor (Atorvastatin) Drug Patent Expiration. Retrieved from <https://www.drugpatentwatch.com/drugs/lipitor>