Passage 2.35.9
ἔστι δὲ καὶ ἄλλος ναός· εἰκόνες δὲ περὶ πάντα ἑστήκασιν αὐτόν. οὗτος ὁ ναός ἐστιν ἀπαντικρὺ τοῦ τῆς Χθονίας, καλεῖται δὲ Κλυμένου, καὶ τῷ Κλυμένῳ θύουσιν ἐνταῦθα. Κλύμενον δὲ οὐκ ἄνδρα Ἀργεῖον ἐλθεῖν ἔγωγε ἐς Ἑρμιόνα ἡγοῦμαι, τοῦ θεοῦ δέ ἐστιν ἐπίκλησις, ὅντινα ἔχει λόγος βασιλέα ὑπὸ γῆν εἶναι.
There is also another temple, and statues stand all around it. This temple is directly opposite that of Chthonia. It is called the temple of Clymenus, and here they sacrifice to Clymenus. Now, I myself do not believe that Clymenus was an Argive who came to Hermione, but rather that this is a surname of the god whom tradition says is king beneath the earth.