Excessive use of hand sanitizer can lead to dryness and itching, but there is no evidence of it causing cancer.
However, there is no scientific evidence indicating that the usage of hand sanitizers could cause any type of cancer.
The Food and Drug Administration recommends the public to use an alcohol-based hand sanitizer that contains at least 60% alcohol to prevent the spread of respiratory and diarrheal infections from one person to person. Also, it has recommended that the companies making hand sanitizers need to provide proof that those chemicals are safe for that level of exposure.
The COVID-19 pandemic has given rise to a lot of potentially dangerous misinformation. For reliable advice on COVID-19 including symptoms, prevention and available treatment, please refer to the World Health Organisation or your national healthcare authority.