Tesco Pharmacy Cleethorpes Extra - Pharmacy, your nearest pharmacy, conveniently located in Tesco supermarket Cleethorpes Extra - Pharmacy. Easily pick up your prescriptions and products while grocery shopping. Whether you have NHS or private prescriptions; both are accepted. Our friendly and knowledgeable staff are always on hand to assist you. Opening hours at Tesco pharmacies are consistently reviewed by our team to ensure that they are always updated, and correct online.