UPS – Cumnock – Opening Hours & Location Details UPS is easily accessible at 12 The Square, approximately a 0.03 mile driving distance north of the centre of Cumnock (near to Greenmills Primary School). The branch is an added feature to the locales of Auchinleck, Craigens, Netherthird, Cumnock Town Centre, Holmhead, Lugar, Logan and Glaisnock. Today’s business hours (Friday) are from 4:30 am – 5:30 pm. Working times, place of business address or phone number for UPS Cumnock can be found here.