An entry in Fortnightly Topic Challenge #46: "Tales From the Cryptic"
So this puzzle uses the term cryptic in multiple senses. On the one hand, it is cryptic in the sense that there are eight cryptic clues included in the text of the story below. On the other hand, it is cryptic in the sense that the puzzle text scans like Lewis Carroll and Allen Ginsburg dropped acid in a steel cage match with a typewriter. On the gripping hand, it is cryptic in that the answer is a genuine poem hidden in it (not high-quality, but consistent syllable count and rhyme, at least) if you replace the cryptic clues with their answers. You will (hopefully) find that the answers to the cryptic clues are all related, because, well...me. I hope you enjoy!
I came across a king overseeing rebuilding after dismissing sixth of cabinet. I spent one hour poorly in, to confess, advocating for trout. A king's top courtier initially set to argue, before concession; in the end, I paid for breakfast. Goat steak tip over ram's head and uncooked cereal, haphazardly served out.
I passed a country guy clipping tail and shaving two head of pigs, primarily asking for alms. A last passing wind lifted hat from head, an object in the distance, lost to chance. Unwise with blow: poncho, hood, overcoat, hat; undone, top half and midriff of lumpen nylon thing to bring luck. At least I've retained my pants.
SOLVER NOTE
As they say in This Is Spinal Tap, it's such a fine line between stupid and clever, and I'm not sure which side of the line this falls on. Personally I'm hoping for directly astride. But either way, I tried to be as Ximenian with clues as I could be, but doubtless there are some liberties. Apologies in advance!