Never give up on a bow. I turned this mess of a deep split handle.
into this by adding pieces.
and finished shaping to this
Later while I was tillering the bow "BOOM" but I didn't give up on it, and turned this;
into this with some urac-185 and a new piece of bamboo.
If you want to go for the max fix I would glue the splinter down with urac, flatten the back and glue on a 1/8" strip of hickory, problem solved.
Gluing down the splinter and wrapping is a good fix as well. If you use thread, soak it with super glue or epoxy after you wrap it and it will be bullet proof.
I have a lot of sinew so I use it for repairs on my personal bows.