The idea behind beer can chicken is to cook a chicken upright on a partially filled can of beer so that as it cooks, the beer evaporates and infuses the chicken with its flavor. Popeyes' version appears to be more beer can-inspired and doesn't actually contain any beer (it also looks very similar in appearance to their previously-offered Rip'N Chicken).
Regardless, you can get Popeyes' Beer Can chicken with Cajun fries, a biscuit and new Creamy Cayenne Dipping Sauce for $3.99 at participating locations for a limited time.
Popeyes' limited-time items tend to stick around for about a month so look for this to be available through mid-to-late October (Update 9/23/14 - they put out a release today that says it's available through October 25, 2014).