The term 'beat by a nose' is a phrase used to describe a situation in which one person or team narrowly wins over another. The crossword solutions for this phrase are EDGE (4 letters), NIP (3 letters), EDGEOUT (7 letters), and EDGEDOUT (8 letters). EDGE and EDGEOUT refer to the idea of having a slight advantage over someone else, while NIP and EDGEDOUT suggest that the victory was so close that it was almost not achieved.