Smiggle – Westgate, Oxford – Opening Hours & Store Details Smiggle is easy to get to in Westgate Shopping Centre on Norfolk Street, about 0.26 miles south-west of the centre of Oxford, in Westgate (near Westgate – Bus Station). The store essentially serves the patrons in the districts of Grandpont, Norham Manor, Cold Harbour, Jericho, Osney, New Hinksey, Oxford City Centre and West Oxford. Today (Friday), hours of business start at 9:00 am and end at 9:00 pm. This page includes information on Smiggle Westgate, Oxford, including the hours of operation, store address or direct number.