Post Office – Llanelli, Llanelli Docks – Opening Hours & Branch Details Post Office sits at 3 New Dock, approximately a 0.55 mile distance south of the centre of Llanelli (close to Llanelli Station). Patrons can easily travel here from Machynys, Tyshia, Halfway, Pemberton, Seaside, Morfa, Bigyn and Llanelli Town Centre. Working times today (Friday) are 9:00 am to 5:30 pm. Read the information on this page for Post Office Llanelli, Llanelli Docks, including the business times, local navigation, customer feedback and more.