Up from out of in under there!

Morris Bishop wrote:

I lately lost a preposition:
It hid, I thought, beneath my chair.
And angrily I cried: "Perdition!
Up from out of in under there!"

Correctness is my vade mecum,
And straggling phrases I abhor;
And yet I wondered: "What should he come
Up from out of in under for?"
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Such an interesting phase. But is it grammatically correct?