The term 'Hip-Swaying Dance' can be summarized by two crossword solutions: HULA (4 letters) and Hul (3 letters). HULA is a traditional Hawaiian dance that involves swaying of the hips and arms in time with music. It is often accompanied by chanting or singing. Hul is a form of HULA that is performed by men, and it is characterized by more vigorous movements than traditional HULA. Both HULA and hul are important parts of Hawaiian culture and are used to tell stories and express emotions.