Add product short description in cart Woocommerce

I would like to add short product description to cart: I do add it to the cart but whats weird that it does not show on checkout page, as my cart is in the header. Any ideas or other solutions are very helpful thanks in advance

function excerpt_in_cart() {

$excerpt = get_the_excerpt();
$excerpt = substr($excerpt, 0, 80);
return '<br><p class="shortDescription">' . $excerpt .'...' . '</p>';
}
add_action( 'woocommerce_cart_item_name', 'excerpt_in_cart', 40 );

When on checkout page it does not show this part from the code ' . $excerpt .' p shows up with the class just fine.