[1] The headword, presumably extracted from the quotation given, is a neuter adjective in the nominative/accusative singular; see generally LSJ s.v. οὐρανομήκης, -ες .
[2] Aristophanes, Clouds 460-1 (web address 1), where the Chorus makes this promise to Strepsiades if he can but learn from them. The original concept of sky-high glory, however, is Homeric (Dover, p. 160); see next note.
[3] For this possible reward, at Homer, Iliad 10.212 (web address 2), Nestor entices Diomedes [Author, Myth] and Odysseus to venture out on a nighttime raid.