Question

Is it possible to get response from Graph API (or FQL) that will list new likes for application and objects tied to it? Meaning – I created application, posted Like buttons all over the site – can I now get feed that will tell me what are the last 10 likes my pages received?

Related – can I somehow get list of last 10 likes of my Fan Page (something like New Likes box in Admin section)?

Answer 1

Question #1:

You can use Real-time Updates

Here are the steps to set up a subscription:

1. Set up an endpoint URL that receives both HTTP GET (for subscription verification) and > POST (for actual change data) requests from Facebook.
2. Make a POST to the graph API url https://graph.facebook.com//subscriptions to > subscribe, and be ready to handle the verification request.

What you get:

User connections to which you can subscribe: feed, friends, activities, interests, music, books, movies, television, likes, checkins.

What you don’t get (yet):

home, tagged, posts, photos, albums, videos, groups, notes, events, inbox, outbox, updates, accounts.

Question #2:

Sure you can !
go to your Page Notifications (replace XXXX with your page ID)
you will find there an RSS link which you can use without even making a Graph API call

You will receive notifications when visitors interact with your page.
For example, if a visitor likes your page or a fan writes on your
wall, you will receive a notification.