The Ultimate LinkedIn plugin is causing some issues as the LinkedIn Version 2 API is rolled out. This plugin fixes those issues I hope. It worked for a client site, so try it, and let me know if it works for you !!
1. DEACTIVATE THE OLD Ultimate LinkedIn Integration PLUGIN
2. Download this plugin using the link below
3. Go to Dashboard>plugins>add new
4. Click Upload, and select the file ‘linkedin-login-V2.zip’
5. Click install
6. and then activate