Is it okay to suffer from continual itchy, dry and puffy tired eyes?

No: They chronic dryness and itch can be signs of an underlying skin problem such as allergy or eczema. Best to be seen by a dermatologist or ophthalmologist to check for this. Often a review of your cosmetics or cleaning agents can be helpful. Sometimes, a short course of antihistamine or topical steroids can reduce the discomfort.

No: Might need an evaluation for skin disease, allergies (seasonal, contact, etc), thyroid disease, etc.