Neither here: Prename - Definition and More from the Free Merriam-Webster Dictionary nor here: prename - definition of prename by the Free Online Dictionary, Thesaurus and Encyclopedia. (there are probably more examples) does it says it's old-fashioned.
So it seems that it is not used by speakers, that's all. Of course, the implication is, in my opinion, that if speakers don't use it, it will be old-fashioned sooner than later.
Student or Learner