You are not supposed to have anything filling or feel full during the undereating phase- ex. your greens and fruits.
During the overeating phase your have 4 hours to eat and you are supposed to eat in stages. The book outlines this clearly.
First eat your greens salad to increase the enzymes for digestion. Then eat your proteins and then your good fats like avacado or nuts. Then lastly you eat any carbs. This way you will not get full easily.
Getting full is fine, but not continuing to eat in order to get all your nutrients is not okay. You gotta do that. If your save the carbs to last you should be okay to keep eating. They are what fill you up.