The term 'JUST BEAT (OUT)' can be solved by the crossword solutions NOSED, EDGE, and EDGED. NOSED is a 5-letter word meaning to push or thrust one's nose into or against something. EDGE is a 4-letter word meaning the outside limit of an object, area, or surface. EDGED is a 5-letter word meaning to provide with a border or EDGE. Together, these words form the phrase 'just beat (out)', which means to narrowly win or succeed in something.