I have some Zebrawood veneers trhat I have used that look very similar. Not hard to use, and I did them like you would any other veneer. I think they are thin enough and dry enough that most of the oils are gone.
I have had issues with the oil coming out of a longbow I built with Zebrawood lams, but not with veneers.
You should have no issues. I use veneers at 1/24" and 1/32 " without issues. Most are bone dry.
AkBillyBow