Drinking with Joyce

This poem is absolutely hilarious first off, Matt. I love how it begins with a clean, crisp rhyme scheme, the flow of it so smooth before it really gets towards the latter stanzas of this poem. Now, since technique really doesn't play a huge factor in the latter stages of this piece, I'll really only focus on the technique before the "drunkenness" really begins to grab hold of this.

So, for the first few, I want to focus solely on the rhythm and pacing of these highlighted stanzas and a very minor change I'd recommend. As far as these first few stanzas are concerned, despite the lack of any kind of consistent meter (it's free verse though so no serious worries, obviously) the way you used grammar here allows for a smooth read throughout.
Everything is crisp and I love the rhyme of the first stanza. It's fantastic.

One thing I would've actually liked personally, would be the rhyme continuing in the second stanza then slowly fading away (to further show his inhibitions/cognizance lowered from the alcohol.). I think that would've been a nice touch but either way, the stanzas here were great.

I heard interesting news today,
that made my fingers twitch.
The pen is raised,
I feel it itch -
glorious words it emits.

Since then, my stomach is on the loose;
a warmth spreads in my guts,
as I try to find my
luck, luck, luck.

I do have one little tizzy with this second stanza though. I find that the repetition really doesn't add anything to it-- I feel as though you can simply add luck to the 3rd line and omit the repetition of that word. (as i try to find my luck)

A new study has been revealed,
and its message was quite clear:
to be a man of big, known word
you need to be a heavy drinker-
a drinker before the lord.

Another slight critique of this 3rd stanza would be of the 3rd line of this stanza. "to be a man of big, known word reads slightly awkwardly to me. I'd prefer to see another word replace "big, known." That would help the flow of that line to me and depending on the word you choose, you can also compact the 4th and 5th line together to make sure the cohesion stays nice and tight. For example:
to be a man of prominent word
you need to drink heavily before the Lord.

(I went with this example to leave a more obvious change to you.)

Thompson and Chandler,
Capote and Poe;
and even Faulkner and Joyce! -
they all shared the drinks of joy!

Simply a grammatical error here. Since Joyce is emphasized, you have to capitalize "they." (I know why you did this though, obviously.)

So I too raise my glass -
Cheers, spirits of gold!
Burning fluids running down my throat,
I can feel pure poetry build up in me;
convulse and stain the paper.

A very minute thing here, I would've preferred to see for the second line, this:
Cheers, of golden spirits. But besides that, this stanza is great. I love everything about this-- the imagery is solid.

The words flow in rivers,
just like the spirits;
and poems, oh, I write them many!
with words wet of Scotch,
and if I find Gin any,
then it will be success mush plenny.

Here's where you begin to show the character beginning to loosen up a bit and his speech slur slightly. I love this touch, it's wonderful and really starts a clever shift of language, becoming more and more (intentionally) awkward.

Onto the latter stages of the poem now, I bring my focus to the final 3 stanzas:

I talk lushty and clearlly,
a thundrous voice!
Ulyshes would bow
before me with joyce!
Flowers will bloom jush to
make me rejoyce!
(not that they had much of a choise)

While I do love the fact you cause this to be slurred, besides simply misspelling certain words like "clearly" you can add more emphasis on the slurred speech in this manner:
I talk lushty and clearlyyyyy... And then go into the second line with a loud or emphasized "a thundrous voice!" That reminds me of those drunks that like to get LOUD after they're tipsy/drunk. Y'know what I mean?

I smoetimes slip thuogh
and make shmaller mistakes,
but the content's what counts,
so hishtory will take that into account.

I think misspelling "sometimes" is nice, but I would've misspelled as "sumtimes." I feel as though that would've made a little more sense and after "though," perhaps add a exclamation of surprise as if he actually did slip. Such as:
I sumtimes slip though-- woah!

And then vary the second stanza after that to maintain that hazy, inebriated feel..

Indeed, oh lord!
With my drinsh and my folly,
only a full could not sea,
that a great winter
I am destined to bee,

For a more humorous effect, I think misspelling Lord as "lurd," or "lerd," would be pretty humorous as a re-read. (I love that you spelled fool as full!) And I noticed a little grammatical error after "bee," so just add a period there and at the end, perhaps add a "burp" or "hiccup" to add that final touch that your character here is really out of it after taking in all of that alcohol.

But overall, this piece truly had me giggling like a little kid. This was funny and I love the "drunk" effects you added here. Very creative and well done, overall. And of course, I'm no professional so you don't have to take heed for any of the things I recommend but I do hope this critique helps at least a little bit, Matt. Great piece, sir!