With that said, if I am wearing fleece rather than my nylon smack, yes I'll see fur all over it.
Some materials will tug the loose fur free, and you will end up with fur on your shirt. Seems like a lot as it's so soft and sticks. Unlike cat hair though it's stays there and doesn't float all over the place. Just sticks to your shirt if you handle them.
I also have a hyper chin that doesn't stop running around his cage. He's the first one I've seen leave fur like dust bunnies. He's white so you can't miss it.