I found two significant melismas in "Chained."
"Free" in the line "Free like an old man that dies" is sung to the notes G E. Because the word isn't sung to just a single syllable, there's a sense of that freedom.
"Go" in the line "God, why don't you let them go?" is sung to the notes A G, musically giving a sense of movement (although "go" might be used more metaphorically).
As a more general comment, when I listened to Ring of Hands recently, I noticed that some of the songs ("Sweet Mary," "Chained," and "Sleep Won't Help Me") seem to feature Fender Rhodes rather than Rod Argent's typical Hohner Pianet. I think it's most evident at the end of "Chained," where a bunch of notes are sustained and then all cut off suddenly with a damper. I'm pretty sure the Pianet doesn't have a damper pedal, so it couldn't accommodate that style of playing. The Rhodes' characteristic bell sound can also be clearly heard at the beginning of "Sweet Mary."
