What are some of the side effects of benzoyl peroxide if you have no allergey to it?

Various. The most common side effect of benzoyl peroxide is dryness. The dryness is usually mild, and may be countered with application of an oil-free moisturizer. Some patients may experience irritation when using benzoyl peroxide. If you experience mild irritation, try decreasing the frequency of applixation. If irritation is severe or persists, discontinue use of benzoyl peroxide.