From Longman Dictionary of Contemporary Englishneither fish nor fowlneither fish nor fowlBOTHneither one thing nor another → fish
Examples from the Corpus
neither fish nor fowl• Mr. Renton I disagree with my hon. Friend about the agencies being neither fish nor fowl nor good red herring.• We were caught between two generations, neither fish nor fowl.• Yet officially we are demographically insignificant, neither fish nor fowl.• The hovercraft has always suffered from the fact that it is neither fish nor fowl. 