Sometimes there is no physical manifestation of irritation such as breakouts or redness and sometimes there is.
If you experience itching, burning, stinging or a tight sensation after using cosmetics, soaps and sunscreens, its possible that your skin is either sensitive in general or sensitive to a particular ingredient.

Some ingredients that are the usual suspects for irritation include dimethyl sulfoxide, benzoyl peroxide, salicylic acid or propylene glycol to name a few 

Do your skin a favor and try to avoid/limit use of these ingredients. Thank us later