Pump It Up (Elvis Costello Cover) Jul 2, 2016 Cover, Cover Costello, Cover Elvis Costello, Cover New Wave, Cover Pump It Up, Cover Rock, The Very Best of Elvis Costello, This Year's Model, Southpawz covering Pump It Up (Elvis Costello) at the Orangeville Jazz and Blues Festival. Like 0 Thanks! You've already liked this « Elvis Costello medley – (I don’t want to go to) Chelsea – Pump it up – Oliver’s Army – Radio Radio » Elvis Costello and the Attractions Pop Life (1986)