So I heard about this riddle, and people are making these types of riddles.
A Riley riddle is simply a riddle following the pattern of the one you linked, as posted originally by the user Riley. The original rhymed, however most of the successive ones do not. There is no other real requirement to make a Riley Riddle.
There has been discussion of "Rileys" getting their own tag, as per the meta question: Do "prefix-suffix-infix" riddles deserve their own tag?