I've got a plastic container for my bar soap, so no worries about it being wet when I pack.
As for wet clothes - my Eddie Bauer travel bag has a waterproof zipped section on one end. I'll take wet clothes, toss them in a plastic bag, then zip 'em up in that section. They won't dry out in there, but at least they won't get anything else in my bag (e.g., clean spare clothes for when my flight is cancelled!) wet.