That commitment and drive is a hallmark for the 53-year-old successor to the Publix top spot, according to analysts and others who know him. An acquaintance in Lakeland said Jones rises at 3:30 a.m. every morning, goes to the gym and gets to work by 5:30 a.m. He may need that drive as he steps into the CEO role at a time when traditional supermarkets are failing and niche players are stealing their business.