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Motivated by Erd\\H{o}s' characterization of $k$-graphs with zero Tur\\'an density, we study the structural implications of vanishing $\\ell$-degree Tur\\'an density.\n  Our main result concerns the case $\\ell=2$. 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Motivated by Erd\\H{o}s' characterization of $k$-graphs with zero Tur\\'an density, we study the structural implications of vanishing $\\ell$-degree Tur\\'an density.\n  Our main result concerns the case $\\ell=2$. 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