The term 'HOG THE MIRROR' can be summarized by two crossword solutions: PREEN (5 letters) and PRIMP (5 letters). Preening and primping are both activities related to personal grooming, such as combing one's hair or applying makeup. Preening is the act of tidying one's appearance, while primping is the act of making oneself look attractive. In this context, 'hog the mirror' means to take up all the time in front of the mirror, either preening or primping.