Summary: Hyperthyroidism is found among people who take Lipitor, especially for people who are female, 60+ old, have been taking the drug for 2 - 5 years, also take medication Aspirin, and have High blood cholesterol.yperthyroidism (over activity of the thyroid gland) has been reported by people with osteoporosis, high blood pressure, hepatitis c, hypothyroidism, multiple sclerosis. (latest reports from 8,151 Hyperthyroidism patients). On Sep, 11, 2015: 129,959 people reported to have side effects when taking Lipitor.