woocommerce_get_item_data.php

<?php
/**
 * Display custom item data in the cart
 */
function plugin_republic_get_item_data( $item_data, $cart_item_data ) {
  if( isset( $cart_item_data['pr_field'] ) ) {
    $item_data[] = array(
      'key'     => __( 'Your name', 'plugin-republic' ),
      'value'   => wc_clean( $cart_item_data['pr_field'] )
    );
  }
  return $item_data;
}
add_filter( 'woocommerce_get_item_data', 'plugin_republic_get_item_data', 10, 2 );