Suda, Tau 1197
“Turoknêstis: a cheesegrater. A type of knife. There is also a proverb: “I will not position myself like a lioness on a cheese-grater”* This means “in the way a lioness would”, and it is a shameful and whorish sexual position.
A cheese-grater is a knife. On the hilts of some kitchen knives lionesses used to be carved out of ivory, in a squatting position, so that their feet might not be broken off as they might be if they were made standing up. So, the speaker is saying I will not position myself like a prostitute awaiting a man, the way a lioness is positioned on a cheese-grater.”
Τυρόκνηστις: ἡ μάχαιρα. καὶ παροιμία: οὐ στήσομαι λέαιν’ ἐπὶ τυροκνήστιδος. ἀντὶ τοῦ ὡς λέαινα. σχῆμα δέ ἐστιν ἀκόλαστον καὶ ἑταιρικόν. τυρόκνηστις δὲ ἡ μάχαιρα. ἐπὶ δὲ ταῖς λαβαῖς τῶν μαχαιρῶν ἐλέφαντες λέοντες ἐγλύφοντο ὀκλάζοντες, ὅπως μὴ ἀποθραύοιντο αὐτῶν οἱ πόδες, εἰ ὀρθοὶ ἑστῶτες γλύφοιντο. λέγει οὖν ὅτι οὐκ ἐπ’ ἀνδρὶ στήσομαι πορνεύουσα, ὡς λέαινα ἐπὶ τυροκνήστιδος.
*Aristophanes, Lysistrata 231
From Henderson, The Maculate Muse