The verb ἐκκρεμάσας (having hung out) is used here with the accusative Ὑπέρβολον to describe the physical act of displaying the politician's head or body parts as a grotesque trophy. While the participle is aorist active, the construction relies on the specific context of the Paphlagonian (Cleon's proxy) being treated as a butchered animal, a metaphor that Aristophanes extends to the physical removal of the 'throat' (λάρυγγος) to signify the silencing or destruction of the demagogue's voice. The phrase encapsulates the play's central motif of the Sausage-Seller's victory over the 'Butcher' through visceral, bodily violence rather than political debate.