You have to write the values back into your entity:
field_attach_submit('silver_client', $client, $form, $form_state);
entity_save('silver_client', $client);
http://api.drupal.org/api/drupal/modules!field!field.attach.inc/function/field_attach_submit/7
And you should validate the field values:
field_attach_validate('silver_client', $client, $form, $form_state);
http://api.drupal.org/api/drupal/modules!field!field.attach.inc/function/field_attach_validate/7
Furthermore if you don't want to declare your entity and fields by yourself you might checkout the EntityConstructionKit
: http://drupal.org/project/eck which allows to export entity structures with Features
just like Views
.