It is possible that this puffiness around your eyes is age-related. As we age, the skin around our eyes can become thinner and more prone to puffiness and wrinkles. However, it is also possible that this puffiness is caused by an underlying medical condition, such as allergies, thyroid disease, or even a kidney disorder. If this puffiness is persistent or worsening, it is best to see your doctor to determine the cause.