TL;DR: Read the first chapter. If you like it keep reading, if you don't then stop there, because it is just more of the same.

On a personal level and a critical level, I did not enjoy shino-chan wa jibun no namae ga Ienai. However, I do understand why some people might. It's different than most people read and sometimes that is enough.

Story:4
The story has a syncopated rhythm to it, which could have been effective if the events had any actual impact (besides the ending, which was impactful, but not well written). The story spun its wheels for a while, making it hard to be invested in the plot.

Art:6
The art is pretty average for the most parts. The intense drawings at certain sections were off-putting and strange, although it actually helped in this case.

Character:2
The characters are irrational and unrelatable. Because they tend to be irrational, nothing is out of character for them. It is possible that they were meant to be irrational because they are young teenagers, but either way it was detrimental to the story. There wasn't a single likable character, and I couldn't relate to them either, so there was no point to them.

Enjoyment:4
I accidentally laughed at a few points, and a few spots were adorable, but for the most part it wasn't a good time. After reading it, I wasn't upset at having my time wasted, but I won't feel like re-reading it, and if time went backwards I would have just skipped it. However those are my personal feelings on the story. From a critical point of view it is worth a bit more.

Overall:4
In a way, this story reminds me of Hatsukoi Shinjuu. They both deal with odd subjects and deals with them in unique ways. Even though I didn't enjoy either of them on a personal level, I understand why others might find something in them.