The term 'BEAT (OUT)' can be solved by the following crossword solutions: NOSED (5 letters), EDGE (4 letters), EDGED (5 letters), and ACED (4 letters). NOSED means to push or thrust one's nose forward, while EDGE is a thin, sharpened side of an object. EDGED means to provide with an EDGE, and ACED means to achieve something with great success. Therefore, the term 'BEAT (OUT)' can be interpreted as to succeed in a competition or task by pushing forward and achieving great success.