Tap the heart icon in the row of icons at the bottom of the screen. This opens the Likes page, where you can see a list of people who have liked you. 

New likes are denoted by a small dot to the left of the person’s name and profile picture thumbnail. If you wish to match with someone in this list, you can either: tap the Fluttr Heart icon to the right of their name; or tap on their profile picture, which will take you to their profile page, from where you can also match with them.