The crossword solutions for the term 'fail ignominiously' are 'BOMB' (4 letters) and 'eatit' (5 letters). To fail ignominiously means to fail in a very public and humiliating way. The term 'BOMB' is often used to describe a failed performance or product, while 'eatit' is an acronym for 'embarrassed all to hell, embarrassed, humiliated, and totally ashamed'. Both terms can be used to describe a situation where someone has failed in a very public and embarrassing way.