Essential oils are widely incorporated in cosmetic products, perfumes and related household products due to the variety of their properties but mainly due to their pleasant odour. The composition of these volatile natural complex mixtures may vary depending on the quality of plant material from which they were obtained and the extraction method by which they were derived. These factors are also important in ensuring the safe use of essential oils in personal care products. As they contain compounds with varied chemical structure and effects, skin sensitivity and irritations as well as other symptoms may arise after their application. Although essential oils are considered as safe and nontoxic when used at low concentrations, available scientific literature indicates that essential oils and their compounds may possess a strong allergy potential. This review focuses on side effects and allergy contact dermatitis caused by selected essential oils and their single compounds in cosmetic products, summarizing data from the most recent scientific literature.