Argos – Whitchurch – Opening Hours & Store Details Argos is situated in an ideal position at 5 Watergate Street, about 0.07 miles west of the centre of Whitchurch (a few minutes walk from Whitchurch Bus Station, Whitchurch Community Hospital and The Wood Yard). This store is situated in a convenient locale that chiefly serves the people of Alkington, Whitchurch Town Centre, Brooklands, Terrick, Waymills and Chemistry. On this page you can find all the essential information about Argos Whitchurch, including the working times, directions and contact info.