LinkedIn API

It appears you are working in the "master" branch in git. You should really be working in a version specific branch. The most direct documentation on this is Moving from a master branch to a version branch. For additional resources please see the documentation about release naming conventions and creating a branch in git.
Review of the master branch:

• README.txt is missing, see the guidelines for in-project documentation.
• Remove "version" from the info file, it will be added by drupal.org packaging automatically.
• The "?>" PHP delimiter at the end of files is discouraged, see http://drupal.org/node/318#phptags
  

  ./OAuth.php
  

• Run coder to check your style, some issues were found (please check the Drupal coding standards). See attachment.
• Drupal Code Sniffer has found some code style issues (please check the Drupal coding standards). See attachment.

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Please check release naming conventions againg. Your branch should named 6.x-1.x (and not the addition of dev).
In addition to that please make sure that automated tools for checking you code gives out clean results, it will help reviewers to do a manual review.

Review of the 6.x-1.x-dev branch:

• Run coder to check your style, some issues were found (please check the Drupal coding standards). See attachment.
• Drupal Code Sniffer has found some code style issues (please check the Drupal coding standards). See attachment.

This automated report was generated with PAReview.sh, your friendly project application review script. You can also use the online version to check your project. Get a review bonus and we will come back to your application sooner.

You can repeat this review at: http://ventral.org/pareview/httpgitdrupalorgsandboxshlapa1412518git-6x-1...

After enabling the module, and entering my application "key" and "secret", I clicked on the "this" link to "request security token from LinkedIn". This resulted in a blank page. Checking the error logs showed that php had encountered a fatal error.

I can see where you are "throwing" this error, but since you are not "catching" it anywhere, php interprets this as a fatal error. The appropriate behavior when using php's Exception model is to use them with "try-catch" logic. A more user friendly way to handle the missing OAuth library would be to actually report the error to the user instead of letting php trap a fatal error. For example:

Line 240, linkedin_api.module:

list($consumer, $hmac_method) = _linkedin_api_init();

You should "catch" the Exception potentially thrown by the "init" function:

try {
    list($consumer, $hmac_method) = _linkedin_api_init();  
  } catch (Exception $e) {
    drupal_set_message($e->getMessage());
    return false;
  }

You should use this method anywhere you might throw an Exception.

Line 216, linedin_api.module

if (function_exists('libraries_get_path')) {

The else clause for this "if" is:
Unable to find OAuth.php library
It should actually be something like:
The Libraries API module is not installed

While it's certainly a good idea to check for the existence of the "libraries_get_path" function, I would also include a dependency on the "Library API" module in your .info file:

dependencies[] = libraries

Line 218, linkedin_api.module:

require $path . '/OAuth.php';

If the path doesn't exist, require results in a fatal error:
PHP Fatal error: require() [function.require]: Failed opening required 'sites/all/libraries/oauth/OAuth.php'

Closing due to lack of activity. Feel free to reopen if you are still working on this application.