[1] Homer, Odyssey 11.334 [= 13.2] "they were all hushed in silence, and were held in rapture throughout the shadowy halls". Derived from khle/w "beguile", whose derivative noun khle/sths (kappa 1504) is likewise glossed as "cheat". The noun is correctly glossed in Apollonius' Homeric Lexicon, "delight"; Herodian, Schematismi Homerici 113 "enchanting of hearing"; and Hesychius kappa2498 "delight, joy". No other lexicon offers this interpretation. For that matter, the meaning of the stem is more accurately reflected in kappa 1506 and kappa 1514. The interpretation here may be a moralising condemnation of spell-casting.
[2] This corrupts the derivation offered by Herodian, Schematismi Homerici 113 s.v. katekh/lhse from *xalhqumo/s "relaxing the mood", also from xala/w "relax"; Herodian also derives khlw= from xalw=. The derivation of khlhqmo/s is reproduced accurately in the Etymologicum Gudianum s.v. katekh/lhse and the Etymologicum Magnum s.v. khlhqmo/s (though as xalh/qumos). Needless to say, xalhqumo/s is otherwise unattested.
[3] Ibycus fr.6 Page; Euripides, Trojan Women 893; also in Himerius, Proclus, Pachymeres, and scholia on Pindar and Plato.