Hello, I can understand your concern for patch of dry skin under the eye. I can get from your history that you have the best possibility of Irritant/ Contact dermatitis or in simple words allergy to contact of some irritant material under the eye. To explain you elaborately about the condition - Due to exposure to any irritant chemical such as any creams or new cosmetic product or sometimes anything coming in contact with the areas can cause the problem. So there can be initial redness and itching with mild pain sensation. In my patients I suggest them to apply hydrocortisone cream in a thin layer in morning and at night time. Apply in a very thin layer so that it should not be visible to naked eye. You can apply it for 7 days and then stop it after that. If there is any irritation or itching is present then can take tablet “Loratadine” or Deslotatadine tablet by mouth up to 1-2 times. You can take further guidance form a dermatologist for best help. All the best.