I’m sure someone has done it before. The closest that I know is Fibonacci by Splean. There is no rhyme, not really. Every new line starts with about the same word as the previous line ends and then 2 last lines of a verse bring back the first 2 lines. Anyway, just take a look.
When the darkness comes It comes with silence In silence I can be myself In myself I see the darkness The darkness that brings silence
My brain is full of faulty wires Wires that make me make mistakes Mistakes bringing me regrets Regrets that living in my brain The brain full of faulty wires
I want to open up my head Go ahead and take out all the mess In that mess dig up good parts Take apart my fears and dreams I just dream to rewire my head The head that now holds only mess
I want to find the faulty gear The broken gear that made me bitter The biterness of broken heart In that heart to find love To love again with no fear Like no gear ever made me bitter