The term 'RUN OUT ON' can be summarized by three crossword solutions: ABANDON (7 letters), DESERT (6 letters), and HEADFORTHEHILLS (15 letters). ABANDON means to leave someone or something behind, usually without warning or explanation. DESERT is a synonym for ABANDON, meaning to leave someone or something in a way that shows a lack of loyalty or responsibility. HEADFORTHEHILLS is an idiom which means to leave quickly, often in a panicked or hurried manner. All three words describe the act of leaving someone or something suddenly and without warning.