BECKY'S DOWNTOWN 1762 E. 18TH ST (between Chester & Payne), CLEVELAND, OH 44114  [map] (216) 621-0055 Warm, friendly atmosphere and service make this downtown venue Cleveland's neighborhood bar. Happy Hour: 3-7pm. Food Specials: late food until 1am every night; try the pierogies, wings, potato skins & over 17 toppings for your burgers. House Specials: Saturday Karaoke.