The term 'BIG FLAP IN THE FASHION INDUSTRY' can be summarized by the crossword solution 'LAPEL'. A LAPEL is a fold of fabric on the front of a garment, typically a jacket or coat. It is usually formed by folding over the front edges of the jacket or coat and then stitching them together. Lapels are often decorated with buttons, pins, or other accessories. In the fashion industry, lapels are an important part of a garment's design and can be used to make a statement or create a certain look.