I'm a big fan of music with clever lyrics, and there's a particular bit of wordplay that I've come across in several songs and I've always wondered if it has a specific name. As the title says, it's when a set of clauses can make sentences multiple ways. In songs, it's usually that the rhythm splits what is being said into several distinct pieces, and those pieces can associate a few ways.
This is easiest to explain with an example. In the lyrics of Injection, by Rise Against, there are these lines:
Pull this plug
Let me breathe
On my own
I'm finally free
This could be interpreted as
Pull this plug, let me breathe. On my own I'm finally free.
but it could also be
Pull this plug. Let me breathe on my own. I'm finally free.
Is there a name for this? The closest I can think of is a garden path sentence, but that's not quite it - in a garden path sentence, one of the two implementations is wrong (or at least humorous), whereas in this, either is valid - when I've come across it in music it's often the juxtaposition between the two interpretations that is interesting or thought-provoking.