1) a tactical retreat to keep your ass from getting the beatdown.

2) to run away like your muthafuckin' life depends on it.

3) to get lost, or to cowardly run away like punk ass you are
Example #1:

After a foolish hike through the Brooklyn Navy Yard, Caesar gets jumped by two thugish entrepreneurs and they seize his IPod and MAC laptop. After being thrown to the ground like a rag doll, the conversation goes something like this...

Entrepreneur Thug #1: Yo son it's payday up da fuckin' Zoo.
Entrepreneur Thug #2: Dats what im talking about.
A disoriented Ceasar tries to regain his composure.
Entrepreneur Thug #1: (looking at Ceasar) you still here, bitch ass nigga!
Entrepreneur Thug #2: Yo, you better run dat shit!
Ceasar flees never looking back.

Example#2

I gots robbed by a stick-up kid, he took my ice and bling, and told me to run dat shit. I was shittin' bricks so I ran like a lil' girl who gots her bike stolen from her.

Example #3
I had too many drinks and the enormous bouncer through me out of the club. He said, you better run dat shit, lil man! I screamed "yo mommas so fat..." but i ran away, like a punk ass, before the bouncer caught up to me.
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When you've held in a shit so long that you have to run to the bathroom and barely make it on the toilet.
May or may not involve bad cases of diarrhea.
"OMGG!! Get out da way!! I'M SHIT RUNIN'!!!!"

"Dude, my mom got mad at me when I shit ran to the bathroom while we were having 'serious discussion'."

"Oh damn, I think I'm gonna have to shit run soon!"
by -lexiie December 3, 2009
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When you can't hold your shit in and you have to stop at a random building just to use the bathroom.
Guy #1: Dude, what took you so long?

Guy #2: Sorry I had to do a shit & run.
by Applesowce8572 December 23, 2016
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Run me your shit is another way of saying give me everything you have Used in slang mainly in England in places like Birmingham Essex or Milton Keynes normally in dodgy back streets when you are getting mugged on the street in England by someone.
Roadman: RUN ME YOUR SHIT RIGHT NOW FAM OR ILL SHANK YOU BRUV!
You: please don't kill me I have a wife and kids.
Roadman: SHUT THE FUCK UP!
by Pigeon Squad March 2, 2022
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Basically when two people are having a confrontation and one of them wants to fight, they will say "run me my shits". It's a long way around just saying "fight me right now".
Bob fucks Jim's girlfriend*
Bob: Bro I didn't mean to fuck her

Jim: Run me my shits
They proceed to fight*
by The passion of the christ February 5, 2017
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When you shit on something near and dear to the heart of one of your enemies (such as their lawn, their porch, their kid (which is fucked up), their car… you get the point) and then run away before the cops tie you down and get a spinky sample in order to get your DNA for testing and figure out why you’re such a fucked up human being. Happens more often than one would expect.
Anthony Jizzo: Yo Miguel, how’s the baseball season going?

Miguel Cumbrera: Not too good Jizzo. I decided I’m going to retire and move on to my next adventure in life. I decided to take an Albert Pujols on Nelson Cruz’s $200K car, so now I gotta change my name and move to Mexico before the poolice figure out I did it and ruin my repootation. I am the king of shit & run.

Stoney: Damn Cumbrera Sombrero, I enjoyed watching you all these years. It won’t be the same without you my boy.

Miguel: Thanks J-Man, I just don’t have any cum left to give. My OPS is only .669 these days, so I’m gonna go out on top. Good luck with the rest of your season with the Yankees, you play a solid first base.
by Stoney69 August 18, 2022
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