Problem:

The issue here is that the user has an edit form link to a Toolset Edit form with a custom post status and once the form sets the custom status on the post the Edit form link no longer appears on the post.

Solution:

We can actually workaround this issue by utilizing one of our internal hooks for Forms.

Add the following to your Toolset Custom Code section in Toolset->Settings->Custom Code. Ensure that you've activated the shortcode by clicking the "activate" link on the snippet.

add_filter( 'toolset_filter_edit_post_link_extra_statuses_allowed', 'ts_edit_link_statuses' );
function ts_edit_link_statuses( $stati ){
  
    $stati[] = 'special';
    return $stati;
}

Replace "special" with the slug of your custom post status and this should cause the Edit link to now appear.