Tinder Unauthorized lets you view a "stack" of photos of people nearby who might be of interest to you. You can Like or Pass on their photos, assess the situation further by viewing friends and likes you have in common, and start messaging. The app uses the same Tinder network as the official iOS and Android versions.
The app is free, open-source, and has no advertisements. Currently, it's waiting for approval in the Windows Phone Store. Meanwhile, users with developer unlocked WP devices can already side-load Tinder Unauthorized. It's available from the link below.