I have been trying the trial of the app, and it works, however it seems to only work in the last pass app. There is no integration with the default browser in honeycomb. When you open a site from last pass, so that it loads your saved credentials, it seems to load in a special last pass browser, not the default android browser.
This browser does not seem to support tabs, or even save your current page when you try to switch apps or go to the home screen. What last pass needs is integration with the chrome like browser in honeycomb, which does support addons.