The antonyms for the phrase "palling up" would be distancing, detaching, isolating, withdrawing, partitioning, estranging, and separating. These words signify the opposite of creating rapport, buddyism, or amity with someone. In contrast, they imply a lack of camaraderie, a feeling of alienation, or a state of being alone. On occasion, it is necessary to create a distance from people who do not share our values or attitudes, which is why it is useful to have a vocabulary that represents both sides of social interaction. Therefore, these words remind us that our connections are not always positive, and that we should be careful in who we choose to ally ourselves with.