Hours Of Operations Shaw's Massachusetts Medway 02053 Shaw's Hours of Operation and Location in Medway, MA 02053 4.5 - 103 votes 65 Main St, Medway, MA 02053 (508) 533-1549 Get Directions Shaw's Hours Category: Grocery & Market Hours Hours may vary due to season or holiday reasons. For specific hours, please contact store directly. Map Explore MedwayView More Apparel H & MCatherinesJusticeDr Jay'sExpress Sports Coleman Recommend For You SIMPLE Mobile H2O Wireless Verizon Wireless Dollar Store Crossfit Deb Herbalife El Toro Market A Nails A & A Locksmith