I appreciate there is currently no support for a full-blown 1Password client as a Modern UI (aka Metro) App for Windows RT.
Nevertheless, the 1Password Anywhere application should ideally work correctly in order to allow access to stored passwords from the Surface RT tablet. However, while the I can login successfully to the 1Password Anywhere application from DropBox, the Reveal option to a hidden password does not work with the touch screen. Similarly, selecting the hidden password and choosing the Copy context menu option does not appear to put the password in the clipboard.
While the latter might be a limitation of Windows RT on a touch screen, I think the 1Password Anywhere application should be able to handle touch screens, particularly in order to temporarily "Reveal" hidden passwords.