/**
* Update the order meta with field value
*/
add_action( 'woocommerce_checkout_update_order_meta', 'my_custom_checkout_field_update_order_meta' );
function my_custom_checkout_field_update_order_meta( $order_id ) {
if ( ! empty( $_POST['my_field_name'] ) ) {
update_post_meta( $order_id, 'My Field', sanitize_text_field( $_POST['my_field_name'] ) );
}
}