I started applying to a scribe job in May, but it ended up taking too long (2 months for an in-person interview!). I finally got an interview for the scribe job last week, but they informed me that I wouldn't find out for a couple of weeks. I had already been offered two other medical assistant jobs, though, and I ended up taking one of those. I suggest that, if you are interested in becoming a scribe, you apply earlier rather than later. I waited until after graduation, and didn't want to turn down two perfectly amazing job offers. Plus, it got really boring sitting around my parents' house for a month, without a full time occupation.
However, I did notice that the hospital seemed to be interviewing throughout the summer to fill spots starting in August, when their crop of scribes go to medical schools. Thus, even if you apply in January, you should check the start date for the scribe position. It might not be until August, and you might not find out until a month before. This would make it unfortunate if you didn't get the job because by then you might have turned down other offers.
Not sure if that made sense. I think I need to get off my computer now.