Post Office – Leyburn – Opening Hours & Branch Details Post Office is located at 11 Market Place, approximately a 0.11 mile distance west of the centre of Leyburn (near to Leyburn Market Place). The branch is a positive addition to the local businesses of Brookside, Harmby, Leyburn Town Centre, Bellerby, Spennithorne and Wensley. If you plan to swing by today (Friday), its working hours are from 9:00 am until 5:30 pm. Please review the information on this page for Post Office Leyburn, including the opening times, local navigation or phone details.