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Listening to oldies, I heard another dovetailing Music example. The song is about a man having a date with a woman named Ariel. In her apartment, with the television signing off at the end of the broadcasting day, "we made love to bombs bursting in aiiiiir....." (no breath before going into chorus) "AAAAriel!"
Edited by BradyLadyDo believe it's called a Chain Rhyme
.
Edit: Ah on closer inspection it's not, as your examples don't repeat the "chain" words.
Edited by JallenBeen wracking my brain, now I'm going to add it to YKTTW as Dovetailing Lines until there is a better name for it. The trouble is, I'm having an easier time describing what it's not than what it
.....is.....
there a better way to explain it?

Could also apply to Literature, especially poetry.
The words of one line dovetail into the next by at least one syllable or word, without the duplicated syllable or word actually being uttered twice. The only example I can think of right off hand is Glen Campbell's "Honey Come Back." The chorus goes,
Clear as mud, yes, but again, the words in parenthesis are not sung twice, not even by backup vocalists. It's just that they could connect with either the closing of the previous line, or the beginning of the next. I don't know how to link videos in here, or if it's possible, but if it helps to get what I mean, you might want to listen to the song.
I'm sure there are other instances of overlapping lyrics like that. But what is it called?
Edited by BradyLady