The wood dries out and cracks.
Another thing is that a loot of wooden utensil are made in several piece stick together with glue. A lot of cutting board are made that way for example (especially the cheap ones). Most glue are not very dishwasher safe. It might be fine for a few wash, and then you end up with pieces of a cutting board.
plus side, it's very clear when the piece is damaged beyond repair.