What Does "gaji ma" (가지 마) Mean in Korean?

This is a very common phrase in close relationships, whether romantic, platonic, or familial. It's often said with a hint of sadness, desperation, or affection when someone is about to depart, and it implies a desire for them to remain longer. It's too informal for strangers or superiors, and often appears in emotional K-drama scenes when characters are reluctant to separate.