"Hashem, Master of Legions, God of Israel, enthroned upon the Cherubim, it is you alone who is God." (Artscroll's Yom Kippur Machzor, Shomeah Tefillah prayer, page 107)
Artscroll has a little star next to this item and indicates that it means that God rests his Shechinah in between the Cherubim on the Ark. That's more or less in line with the Torah's general view on it as well. Alls well, but it could it mean something closer to this? Or this? Don't worry I'll explain later.
"He flies upon His Cherub, and responds to His intimate people." (Artscroll's Tom Kippur Machzor, Aider Y'kar Aili, page 383)
Rides on a cherub? Can this be taken literally? Well, surely not according to Artscroll which has another star by this verse, but could it be something like this? Or like this?
Also take note of verses in Tanach, like 2 Samuel 22:11 and Psalms 18:10 which go "And he rode upon a cherub, and did fly yea, he did fly upon the wings of the wind."
Sure that can also be taken non-literally, but do archeological discoveries suggest otherwise? See here for details.
Even without the oddities of Ezekiel's visions recorded in Ezekiel 10, the archeological evidence surely seems to indicate the the cherubim were not angelic childlike figures in Grecian style, but a more griffin-like figure with a fully animal body, walking on four animal legs, with bird-like wings and perhaps a human head.
Israelite culture and religion did not spring from a vacuum. Its predecessors and contemporaries in Egypt, Phoenicia, Canaan, and Assyria likely had a great degree of influence. Certainly the traditional childlike form is suspicious because remarkably no memory whatsoever in post-Biblical Jewish history is there of what the cherubim looked like.