Cortisone containing topical ointment and creams have various effect on the skin depending on its chemical nature plus the concentration of cortisone within it.
Cortisone usually applied to skin to control itching, eczema, acne and many other skin disease
In General, prolonged use of cortisone induce atrophy in the skin reducing the skin thickness and induce appearance of red lines "stria" in the body especially the abdomen, axilla, thigh and arms due to stretch of the thin skin leading to tear in the basal layer in the skin which in turn deep blood to be visible.
In case of using such skin products on the face, this induce growth of thick hair in abnormal sites e.g. nose beside making small blood vessels beneath to be easily visible. Also the facial skin become easily injured with minor traumas e.g. shaving.
In case of using such medication on large areas or all over the body, cortisone could be easily absorbed to the blood which in may harm your body as high cortisol level is associated with a disease known as Cushing disease.
Final word, DO NOT use such agent without a clear prescription form a dermatologist or an experienced doctor.