Sound like an eating disorder more than anything else. Unless this person is quite small doing just 3 drinks a days they are probably dehydrated and definitely so if they are not drinking a good amount of water along with those 3 drinks. Because of the low caloric intake they are prolly slowing the metabolism more than they would be at least doing the minimum 6 drinks.
If they're slowing the metabolism more than usual then eating then starting again that does not sound like any kinda of a good or healthy idea to me.