The following worked for me. You need to hook your meta saving and retrieving to the same action, with different priorities.

//Save Your Custom Meta Meta, but hook it to transition_post_status instead of save_post, with a priority of 1
function save_yourpost_meta(){
  global $post;
      if($post -> post_type == 'your_post_type') {
          update_post_meta($post->ID, "your_meta_key", $_POST["your_meta_key"]);
      }
  }
add_action('transition_post_status', 'save_yourpost_meta',1,1);


//Then retrieve it only when the post is saved for the first time, not on updates. Hooked to the same action, with lower priority of 100

function get_meta_on_publish($new_status, $old_status, $post) {
if('publish' == $new_status && 'publish' !== $old_status && $post->post_type == 'your_post_type') {
  //Get your meta info
  global $post;
  $postID = $post->ID;
  $custom = get_post_custom($postID);
  //You have your custom now, have fun.
  
  }
}
add_action('transition_post_status', 'get_meta_on_publish',100,3);

I hope this helps!

The following worked for me. I hooked my meta saving and retrieving to the same action (post_transition_status), but with different priorities.

//Save Your Custom Meta Meta, but hook it to transition_post_status instead of save_post, with a priority of 1
function save_yourpost_meta(){
  global $post;
      if($post -> post_type == 'your_post_type') {
          update_post_meta($post->ID, "your_meta_key", $_POST["your_meta_key"]);
      }
  }
add_action('transition_post_status', 'save_yourpost_meta',1,1);


//Then retrieve your custom meta only when the post is saved for the first time, not on updates. Hooked to the same action, with a lower priority of 100

function get_meta_on_publish($new_status, $old_status, $post) {
if('publish' == $new_status && 'publish' !== $old_status && $post->post_type == 'your_post_type') {
  //Get your meta info
  global $post;
  $postID = $post->ID;
  $custom = get_post_custom($postID);
  //You have your custom now, have fun.
  
  }
}
add_action('transition_post_status', 'get_meta_on_publish',100,3);

I hope this helps!