Thanks to many introduction of this by overseas residents or mass media, some places become kmown to many, especially young generations.
Of course, these are not so similar as what you mentioned. But, I think it is a good indication as a first step to be more popular. One of those places is located at Eulji-ro near by Medical Center and Dongdaemoon market. They exchanges or sell mainly outwears, accessories, etc. Ah, this market ( I'd better say this is 'market') opens on Sundays only.
Meanwhile, it's getting popular many young kids such as school students. They bring thier stuffs to school and trade at a bargain price.
Well, strictly speaking, this is still far from what you explained. It's a kind of market though. However, sooner or later, we'll see many cases of reasonable trade of used items.