The term 'Lives It Up' is an idiom that means to enjoy oneself and take advantage of life's pleasures. The crossword solutions CAROUSES (8 letters), HASABALL (8 letters), and HASABLAST (9 letters) all refer to activities that one might do when living it up. CAROUSES refers to a wild and noisy party or celebration, HASABALL implies having a great time, and HASABLAST suggests having a good time that will be remembered for a long time.