Firstly regarding the release: right now I'm at chapter 15 of a total of 51 scanlated. To read beyond this, you'll need to chuck five bucks at the author via his patreon which is totally reasonable. In fact it's got to be the cheapest offer I've seen for a whole series.
Now as for the content itself? It's simply not blowing me away. I looked into this due to its high rating here. The premise has a load of interesting nuances, but the problem arises once we look past them. At it's core, this is just an isekai. In an isekai, the main character is whisked away from the world they know into a different world. In this new world, they typically either use the knowledge from their previous life to gain an advantage in this new world, or through some special means gain new talents and/or abilities as a part of the deal. Jin falls into the former category, but the twist is the world he is transported to is Earth 138 years in the past and the skill he brings with him is modern medicine. Jin is a talented neurosurgeon.The series, aside from the initial time travel, is grounded in reality. You won't find any magic spells or fantasy creatures. The adversaries here are the illnesses and injuries of the time and the struggle to deal with them without modern tools or colleagues with similar knowledge.
The more rational minded may struggle initially to suspend disbelief. I found it particularly amusing that Jin insists on sterilizing his tools in boiling water and seemed to completely ignore the concept of washing one's hands. Doctors washing their hands dramatically increased patient mortality rates when introduced, though it wasn't even fully accepted in America until the 1980's! This may be a culture thing, though, because living in Japan you'll often find there's no soap in the public restrooms... Back on track, I also found it difficult to believe that his methods would be so readily accepted, but this could have been the author's decision to not get caught up in that aspect of the story.
I have two main problems that I can't move past as easily as the problems I went over above. First, Jin comes off as a bit of a marty stu. He never seems to do anything wrong, he seems to be liked by everyone even those who dislike him at first, and in fact really doesn't have much in the way of character or personality at all. If you think you disagree, please try to describe him in a way that would differentiate him from any other doctor.
Next, like most isekai, the initial catalyst for the story (the thing that whisks Jin away) becomes mostly irrelevant as the story goes on. At a somewhat early point in the story there's a hint of some development on this front, but it gets swept back under the rug. This plot point is the main drive of my interest in the story, and its lack of presence means my interest continues to wane as time passes. Of secondary interest is what ramifications Jin's presence and progress in the past will have in the world.
I think what it boils down to is a lack of feeling true adversity for the protagonist. It never really feels like he's going to be in danger of failing, and the stakes involved feel low. After all, anyone at all he manages to save is a net positive. Unless he goes insane and starts a killing spree which admittedly I would not see coming, he's already "won" in a sense.
For now I'll continue reading. If I make it up to chapter 51 I'll buy the rest on patreon, and I'll edit my review here. If not, you can safely assume I lost interest and moved on.