woocommerce display product category on checkout page [closed]

The problem is that your code, especially the

global $post;

and then

$post->ID

part is getting the $post_id of the page you are on from the $post global variable, not of the product(s) in your cart, which would be what you are looking for.

Aside from that, the $args parameter of wp_get_post_terms has no argument taxonomy, besides you already defined the taxonomy as second parameter of the function call.

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Disclaimer:

• I answered this because the problem on hand has nothing to do with the third-party plugin, questions about those are generally off topic, but with understanding how WordPress works.
• So the woocommerce specific part below does not justify asking off topic questions, but is meant to help someone out anyway.

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Getting the ids of the items in your cart can be done somewhat like this:

global $woocommerce;
$cart = $woocommerce->cart->get_cart();
$cart_items_ids = array();
foreach ( $cart as $item_key => $item_value ) {
    $cart_items_ids[] = $item_value[ 'data' ]->id;
}