SRS,
Thank you for your work but "euphemism" and "dysphemism" have nothing to do with rhyming. They relate to word replacement, not the unfinished rhyme, which doesn't HAVE to be a euphemism or have any bawdiness at all, like this one quoted above.

Manners that suited a girl of her charms,
A girl that he wanted to take in his
Washing and ironing

The method is specific to verse, and I am sure I have seen a term for it, but I just can't remember it.

WYSIWYG
The point is that the listener is EXPECTING a rhyme, and usually a particular word, but a different word is substituted, which may actually rhyme in a different way

In the first example I gave, you are expecing a rhyming scheme of abab or abcb but you actually get abcc.

So instead of a rhmye for GLASS, you get one for STATIC