Turns out Paul Konerko had a parting gift for the Cubs, too. The retiring slugger, who made perhaps his final start against his crosstown rivals, delivered a bases-clearing double and the White Sox downed the Cubs 8-3 on Wednesday night in front of 21,075 at U.S. Cellular Field. Gordon Beckham also had a three-run homer and John Danks (3-2) struck out eight as the White Sox improved to 18-17 with their fourth straight victory. The White Sox send Scott Carroll to the mound against Jake Arrieta on Thursday night in search of a sweep of the four-game series. “I was top step,” Beckham said of Konerko’s fifth-inning double. “Proud of dad. I was happy for him. He hasn’t had as much playing time. But he knew what he signed up for and I think that him coming through like that is a product of being around a bunch of guys that want each other to do well and are pulling for each other.” Thursday can’t come fast enough for the Cubs, who will never have to face Konerko again. On Tuesday the North Siders presented their Crosstown tormenter with the No. 14 from the Wrigley Field scoreboard. Over the weekend, Konerko said he was excited about the prospect of one last meeting with his North Side rivals even though he believes the May scheduling to be weird. But Konerko has plenty of memories created by the rivalry and its only fitting he added one more to the list. Having lined out to deep center in his previous at-bat, Konerko came up with the bases loaded and no outs in the fifth inning and the White Sox ahead 4-3.