Variable button list

I have a folder called Test Work on my hard drive. I usually have folders prefixed with the date for current work that’s going on. I only have folders in the directory named like this e.g. “170616 TodaysJob”. Would it be possible to have a button drop-down with only the last five created date folders show up? What I mean is kind of like a variable list of folders. So if I add a folder named "170617 TodaysJob" to the folder the button list knock the last one off and still only contain five?