<global>
       <events>
       <catalog_product_save_commit_after>
         <observers>
           <Name_StockLabel_Model_Observer>
             <type>singleton</type>
             <class>Name_StockLabel_Model_Observer</class>
             <method>backInStock</method>
            </Name_StockLabel_Model_Observer>
         </observers>
       </catalog_product_save_commit_after>
     </events>
   </global>

public function backInStock(Varien_Event_Observer $observer)
    {
        $product = $observer->getEvent()->getProduct();
        $stock = Mage::getModel('cataloginventory/stock_item')->loadByProduct($product->getId());
        $stockItem = $product->getStockItem();
        if ($stockItem->getCanBackInStock() && $stockItem->getQty() > $stockItem->getMinQty() && $stockItem->getIsInStock()){

            WANT TO ADD BLOCK HERE THAT WILL DISPLAY ON PRODUCT IN FRONTEND

        }
  }