River Island – Kilmarnock – Opening Hours & Store Details You will find River Island situated at an ideal location at 98-100 King Street, about 0.49 miles south from the centre of Kilmarnock (not far from Kilmarnock Sturrock Street / Clark Street Bus Stop). This store is an added feature to the areas of Altonhill, Townholm, Riccarton, Onthank, Longpark, Bellfield, Kilmarnock Town Centre and Knockinlaw. On this page you will find all the information about River Island Kilmarnock, including the hours of business, store address and contact number.