No, it does not. In fact, if you give red meat to a vegetarian, they will have the exact OPPOSITE problem. Ka-BLAM!

And since they are usually the ones spouting that kind of anal fetish "clean colon" new-age spaceman bullshit, you know it's just that: bullshit. Because if they tried meat again, they'd find out really quickly just how wrong they are.
Ironically, fully cleaning out your intestines can make you VERY sick, because you NEED the bacteria that builds up in there to digest your food. You get that bacteria by consistently eating a given food. That's why when you give a vegetarian meat, they get the shits. They have allowed the healthy bacteria in their intestines to die out by artificially restricting their diets, and they can't digest meat properly anymore. So they get the same effect as anyone who eats a ton of fiber: tons of material they can't digest, and it all wants to come out. People who get regular enemas are in an even worse situation: In addition to losing the bacteria they need to digest food, the colon quickly loses the ability to "pass stools." That means you HAVE to keep getting the enemas, or you'll get so constipated that you get sick.
In short, eat normal food at normal intervals and stay the fuck away from your asshole if you want to be healthy. Millions of years of evolution have it all worked out, so enjoy your food and don't worry about it.