How luminous does the word shine

"The Dong with the Luminous Nose"... I have to be frank, and admit that I could not keep my head out of the gutter on this one.

But I feel as though, perhaps, that was the intent. In many ways the poem seemed to resemble Jabberwocky, the famous piece by Lewis Caroll (who was a Logician, by the way). The absurdities of a piece like that are found in the somewhat flippant and absurd use of amusing sounding, rounded, blunted syllables. The language itself is meant to be sort of, robust, quirky in its mockery of the epic, or at least of all those poems that would like to take themselves seriously.
Yet its irony seems to be extended far further than Caroll's, by both playing off of that kind of thought process, and using language that could be thought of as somewhat... flamboyantly sexual, to do it. Then it tapers off, before again reminding you of the inherent innuendo, simply in the title.