There is no evidence that Lipitor, a medication used to lower cholesterol levels, can reduce the effectiveness of hangover relief. Lipitor's active ingredient is atorvastatin, which works by blocking the enzyme responsible for producing cholesterol in the liver [1]. On the other hand, hangover relief remedies are usually aimed at reducing the symptoms of a hangover, such as headache, nausea, and dehydration [2]. These remedies can include drinking plenty of water, taking pain relievers, and eating foods that can help restore electrolyte balance. While there is no known interaction between Lipitor and these remedies, it is always important to consult with a healthcare provider before taking any new medication or supplement, especially if you have underlying medical conditions or are taking other medications that may interact with Lipitor [1].

It is worth noting that grapefruit juice, which contains compounds that can interfere with the metabolism of certain medications, including Lipitor, should be avoided while taking this medication [3]. This is because grapefruit juice can increase the levels of Lipitor in the blood, leading to an increased risk of side effects [3].

Sources:
[1] DrugPatentWatch. (n.d.). Lipitor. Retrieved from https://www.drugpatentwatch.com/p/tradename/LIPITOR
[2] Everyday Health. (n.d.). The Perpetual Search for a Hangover Remedy. Retrieved from https://www.everydayhealth.com/mens-health-pictures/the-perpetual-search-for-a-hangover-remedy.aspx
[3] The New York Times. (2006, March 21). Experts Reveal the Secret Powers of Grapefruit Juice. Retrieved from https://www.nytimes.com/2006/03/21/health/experts-reveal-the-secret-powers-of-grapefruit-juice.html