Here is what a couple of my lexicons have to say, if anyone is interested (Strong's and Bauer's).
3824 παλιγγενεσία, παλινγενεσία [paliggenesia /pal·ing·ghen·es·ee·ah/] n f. From 3825 and 1078; TDNT 1:686; TDNTA 117; GK 4098 and 4100; Two occurrences; AV translates as “regeneration” twice. 1 new birth, reproduction, renewal, recreation, regeneration. 1A hence renovation, regeneration, the production of a new life consecrated to God, a radical change of mind for the better. The word often used to denote the restoration of a thing to its pristine state, its renovation, as a renewal or restoration of life after death. 1B the renovation of the earth after the deluge. 1C the renewal of the world to take place after its destruction by fire, as the Stoics taught. 1D the signal and glorious change of all things (in heaven and earth) for the better, that restoration of the primal and perfect condition of things which existed before the fall of our first parents, which the Jews looked for in connection with the advent of the Messiah, and which Christians expected in connection with the visible return of Jesus from heaven. 1E other uses. 1E1 of Cicero’s restoration to rank and fortune on his recall from exile. 1E2 of the restoration of the Jewish nation after exile. 1E3 of the recovery of knowledge by recollection.
~Strong, J. (1995). Enhanced Strong’s Lexicon.
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παλιγγενεσία, ας, ἡ (Plut., Mor. 722D does not assign the use of this word to Democritus; it is found first in Neanthes [200 BC]: 84 fgm. 33 Jac.; Memnon [I BC/I AD]: 434 fgm. 1, 40, 2 Jac.; Cicero, Ad Attic. 6, 6, also a t.t. of the Pythagoreans and Stoics [EZeller, Philosophie der Griechen I5 1892, 442; III 14 ’02, 158; HDiels, Doxographi Graeci 1879, p. 469, 11ff] as well as of the Mysteries of Dionysus [Orph. Fragmente 205 p. 225 OKern ’22] and of Osiris [Plut., De ει apud Delph. 9 p. 389A, De Isid. et Osir. 35 p. 364F; 72 p. 379E, De Def. Orac. 51 p. 438D, De Esu Carn. 1, 7 p. 996C; 2, 4 p. 998C. Cf. Lucian, Encom. Musc. 7]. It is found in the Herm. Wr. [3, 3; 13, 1 ὁ τῆς παλιγγενεσίας λόγος; 13, 3 al.—JKroll, Die Lehren des Hermes Trismegistos ’14, 360ff; Prümm 559-61]; Fluchtaf. 4, 18 ὁ θεὸς ὁ τῆς παλινγενεσίας Θωβαρραβαυ; PLond. 878 δῶρον παλινγενεσίας; Philo, Cher. 114, Poster. Caini 124, Leg. ad Gai. 325; Jos., Ant. 11, 66)rebirth, regeneration.
1. of the world—a. after the Deluge (so Philo, Mos. 2, 65, while the idea of the παλιγγενεσία of the κόσμος is gener. Stoic and originated w. the Pythagoreans: M.Ant. 11, 1, 3; Philo, Aet. M. 47; 76) Νῶε παλ. κόσμῳ ἐκήρυξεν 1 Cl 9:4.
b. eschatol., of the renewing of the world in the time of the Messiah (Schürer II4 636ff; Bousset, Rel.3 280ff) ἐν τῇ παλ. in the new (Messianic) age or world Mt 19:28.
2. of the rebirth of a redeemed person (cf. Heraclit., Ep. 4, 4 ἐκ παλιγγενεσίας ἀναβιῶναι; Herm. Wr., loc. cit. and PGM 4, 718 where the initiate calls himself πάλιν γενόμενος): λουτρὸν παλιγγενεσίας καὶ ἀνακαινώσεως πνεύματος ἁγίου bath of regeneration and renewal by the Holy Spirit Tit 3:5 (MDibelius, Hdb., exc. ad loc.; EGSelwyn, I Pt ’46, 306f; ADNock, JBL 52, ’33, 132f).—PGennrich, Die Lehre v. d. Wiedergeburt in dogmengeschichtl. und religionsgeschichtl. Beleuchtung ’07; AvHarnack, Die Terminologie der Wiedergeburt: TU 42, 3, ’18, p. 97-143; ADieterich, Eine Mithrasliturgie ’03, 157ff; Rtzst., Mysterienrel.3 indices; HRWilloughby, Pagan Regeneration ’29; VJacono, La παλιγγενεσία in S. Paolo e nel ambiente pagano: Biblica 15, ’34, 369-98; JDey, Παλιγγενεσία (on Tit 3:5) ’37; JYsebaert, Gk. Baptismal Terminology, ’62, 90ff; FBüchsel, TW I 685-8. M-M.*
~Arndt, W., Gingrich, F. W., Danker, F. W., & Bauer, W. (1979). A Greek-English lexicon of the New Testament and other early Christian literature