The term EDGED OUT can be defined as being pushed out of a situation or competition by a narrow margin. This term can be broken down into two crossword solutions: NOSED (5 letters) and BEAT (4 letters). NOSED is defined as to have been ahead of someone or something by a small margin, while BEAT is defined as to have surpassed or outdone someone or something. Together, these two words form the phrase EDGED OUT, which describes the feeling of being pushed out of a situation or competition by a narrow margin.