Excessive use of hand sanitizer can lead to dryness and itching, which can be avoided by moisturizing.
The Food and Drug Administration recommends using 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 prove 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.