I know it's frivolous, but I keep mine in a coffee mug. But, I am having one made of some armadillo hide that tanned last Spring to match a pipe bag that I am having made also. I'll post pictures when it gets here. It will fit in my shirt pocket and keep them all straight. I hope.
Make an order from Pipemakers Emporium and they send you a plastic sleeve for holding pipe cleaners.
That's the only kind of portable holder that I've seen. Though I assume that some of those fancy tobacco pouches would have a slot for it.
I did some buisness with Neil Flancbaum of Smoking Holsters.com on some leather pipe socks recently. His fabriaction and quality is beyond reproach. He offers travel pipe cleaner holders made of just about any hide you are willing to pay for. You may want to check it out.
For travel I put a gradual bend in some and store them in an altoids container. I also keep a 3"x4" little ziplock bag of tobacco which fits in the tin as well.(can also fit a czech tool in there too)
Crude, but gets the job done.
For desktop I use a very nice single stem glass flower vase. Looks as though it were made for the job. Other than that I don't have any concerns as I very rarely smoke a pipe except in my home or on the home premises.
Go to Home Depot and get a 2" piece of threaded pipe. You decide on the material of pipe, and a base flange to screw it in. That way you can have a piece of pipe holding pipe cleaners.
You're welcome!!! :D
Frank from SorringOwl and Sons has some. I don't own one but I have one of his pipe travel cases and a key fob/pipe stand from him. Stand up guy.
Here's my desktop pipe cleaner holder. It's made by Corning and holds over 400ml of pipe cleaners. I keep about 5 different kinds in it: Thin, thick, bristles in a couple different brands. I'm not sure if these were made specifically for holding pipe cleaners, but it works ok, and it was free.