I was watching a cartoon and part way through a song came on, and it had these two stanzas:
Why do you have to look up to her
Aside from in a literal sense?
Don't you know that a power that big
Comes with a bigger expense?
And can't you see that she's out of control
And overzealous?
I'm telling you for your own good,
And not because I'm-
But in the second stanza the character omits the second half of the rhyming couplet, while keeping to the same five syllables. This is a narrower term than broken/subverted/mind rhyming where the word may be either replaced or omitted: these are hypernyms, but I require a term only referring to cases where the rhyme is omitted.
This is also done in songs where the omitted half of the rhyming is a swear word, often with the intent of the listener completing the intended word mentally.
What is the term for this technique? I don't think it's enjambment as the word doesn't just run over, but ends.