A certain clearance is required. The panels need like an extra 100mils or whatever for the lost material.
Be aware there are limits for how a v-score can break. For example, if you need to make one big "T"-shaped board and fill in the extra space on either side of the T you've got a problem. The break can't propagate from one side of the board to the other.
But on the other hand, perhaps you have one long vertical board on the right side running from the top of the panel to the bottom, and the left side has one rectangle on top of another. So in this case the v-scores themselves make a "T", rather than one of the boards. In this case the long board on the right can be broken off, then the remaining score line now goes from end-to-end of the remaining panel thus the two rectangles can be broken off of each other. It could not be done in the reverse order.