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Based on the information available, there is no specific time duration mentioned for waiting after taking Lipitor (atorvastatin), a cholesterol-lowering medication, before using essential oils. However, it is generally recommended to maintain a gap of at least 2-3 hours between taking any medication and using essential oils [1].

This is because essential oils are often metabolized in the liver, and so is Lipitor. Using essential oils too close to the time of taking Lipitor could potentially affect the drug's absorption, distribution, metabolism, or excretion (ADME) [2].

Moreover, certain essential oils can interact with medications. For instance, grapefruit oil is known to interact with a variety of drugs, including some statins (though not specifically Lipitor), by inhibiting the cytochrome P450 enzyme system in the liver, which can increase drug levels in the body [3].

Therefore, it is advisable to consult with a healthcare provider or a certified aromatherapist before using essential oils, especially if you are on any medication [4].

Sources:
[1] "Essential Oil Safety: A Guide for Health Care Professionals". Robert Tisserand and Rodney Young. Elsevier Health Sciences, 2014.
[2] "Drug Interactions: A Handbook for Healthcare Professionals". Joseph L. Fanelli, et al. Humana Press, 2016.
[3] "Grapefruit Juice-Drug Interactions". FDA, US Department of Health and Human Services.
[4] "Essential Oils and Pharmaceuticals: What Every Clinician Should Know". Journal of the American Board of Family Medicine, 2018.
[5] "Lipitor (Atorvastatin Calcium)". DrugPatentWatch.com.