If you start telling the cuemaker what glue and threads to use, it may be a bit much.
If you want a certain taper on the cue or woods/wrap used, that is all up to the customer unless there is a reason the cuemaker does not want to do what you ask. For example you want a non-cored full ebony cue with a thick butt that is 17oz overall weight. That may be a bit tough to do hehe.
Make out a basic design, or a full one, give list of woods/materials, and let them at it. You can have as much input as you want in the cue, you want certain colors or patterns in the rings, let them know. You want exactly 4 star shaped inlays 2" from the wrap, let them know. If you want them to design something, tell them I like Ebony, Bubinga and Maple, leather wrap with roundish inlays and see what they come up with.