The term 'one having a ball' can be solved by the following crossword solutions: BELLE (5 letters), Deb (3 letters), EYE (3 letters), and SOCKET (6 letters). BELLE is a French name meaning 'BEAUTIFUL, ' and it is also the name of the main character in Disney's Beauty and the Beast. Deb is a shortened form of Deborah, which is a Hebrew name meaning 'bee.' EYE is a noun that refers to the organ of sight. SOCKET is a noun that refers to a hollow part of a joint into which another part fits. Together, these solutions suggest that someone is having a good time and enjoying themselves.