[Meaning] to court the mob1 and to play in response2 to them.
Greek original · Adler’s text
Δημοῦσθαι· δημοκοπεῖν καὶ ἀντιπαίζειν.
Betacode
*dhmou=sqai: dhmokopei=n kai\ a)ntipai/zein.
Notes (2)
Same entry in other lexica, including Photius, who cites Plato for this sense of the verb (= Theaetetus 161E, which has the participle dhmou/menon; cf. the scholia there).