+2  A: 

I've never seen chaining of modifiers fail. I think you're good to go in all browsers still in use today, if not all browsers that ever implemented CSS.

EDIT: Nope. Just watched IE6 choke on it. Plugged this example into Adobe Browserlab, and both the class attributes hello world and world respond to the .hello.world selectors.

Booooo, IE6. IE7 is good to go on that point, though.

Here's a blog post describing the issue (IE just reads the last class, it would seem), and offering the following stupid but necessary fix if IE6 is required: <p class="one two one-two">

Matchu
I'll hold you to that :)
Marko
@Marko Ivanovski: once I actually tested, nope. IE6 fail :(
Matchu
That's what I was afraid of @Matchu :)
Marko