ALDI – Clay Cross – Opening Hours & Store Details ALDI is directly situated at 8 High Street, approximately a 4.63 mile distance south of the centre of Chesterfield, in Clay Cross (a few minutes walk from Clay Cross Hospital and Kenning Park). This supermarket is proud to provide service to patrons within the districts of Holmgate, North Wingfield, Old Tupton, Damesmoor, Claycross, Henmoor and Lower Pilsley. Here you will find the specifics for ALDI Clay Cross, including the store hours, location info, customer feedback and additional significant information.