Based on an oauth example over at http://developer.linkedin.com I created a webpart for the MySite Host homepage and activity page. Here a SP2010 user can authorize SP2010 to use the LinkedIn Api on his or hers behalf.
In the background I store the oauth tokens in a secured SharePoint list.
The webpart will then connect to LinkedIn and get your relevant network updates:
Now I was on a roll, and I also created a Shared Connections webpart that will compare the network connections of the logged in user and the profile the logged in user is viewing:
But there is also a LinkedIn Search Api. And we created a Federated Search service too! Now the people search also searches within your own LinkedIn network (see the right pane containing linkedin results):
How cool is that !