Though Alice has never been described in her clothing, Carroll lets us suppose she was dressed as girls used to dress at the time he wrote the novel. AIW was written in 1865, full Victorian era. Girls were thought good manners, including how to properly drink tea. *-*
Also, maybe the character of Alice itself is an inspiration for goths. She doesn't stop at appearance, I mean, she talks to a a weird cat, to singing flowers without any hesitation! And instead of being afraid, she get more and more curious about this weirdness. She isn't scared of telling her own ideas and she doesn't let herself be changed.