No. The Daily Five has no leaderboard. Your attempt and score are kept in this browser, and you can share your result as coloured squares.
No. The Daily Five has no leaderboard or ranking. The streak and your result for the day are stored in this browser, which means clearing site data removes them.
You can still compare scores with friends by sharing your result (how the Daily Five is scored). If you want a ranked daily, the Daily Word ranking is an option. For the Daily Five itself, see the Daily Five tips.