C4 BCE. See also alphaiota 349 and generally Michael Gagarin in OCD(4) p.26, under 'Aeschines(2) Socraticus'. (Not to be confused with his namesake alphaiota 347/alphaiota 348.)
For the Suda's material cf. generally Diogenes Laertius 2.60-64, at 60-61.
[1] That he belonged to the Socratic circle is attested by Plato, who mentions him at Apology 33E. In D.L. 2.60 it is he who is said to have urged Socrates to escape from prison -- the suggestion that Plato attributes to Crito in the dialogue of that name.
[2] This, rather than Charinos, is nowadays regarded as his correct patronymic. For Lysanias see under lambda 853; and see the note at sigma 829.
[3] See generally sigma 1743, sigma 1744.
[4] Many of these titles are the names of actual Athenians, past and present. Fragments survive -- in Giannantoni (1991), below -- of the Alkibiades and the Aspasia, two of these seven (= the seven listed together in D.L. 2.61 and called there 'stamped with a Socratic character').
[5] On this other seven see more fully in D.L. 2.61; he does not list them all but does call them (all) weak and un-Socratic, and mentions that some questioned their authorship. For what it is worth, the spuria of Plato contain an Eryxias and an On Excellence (as well as an Axiochos).