If you’ve enabled cross-sells in WooCommerce on a product by product basis but would like to remove them from the cart in one motion, add the following script to your functions.php file or a custom functions plugin:
remove_action( 'woocommerce_cart_collaterals', 'woocommerce_cross_sell_display' );
You can also move the cross sells around the cart page. We shuffled the cart and checkout pretty significantly here on Cinch, so the default location of the cross-sells was out of whack. You can move it with this snippet:
add_action('woocommerce_after_cart_table', 'woocommerce_cross_sell_display');
So now if you go and add a sticker to your cart, you should see the cross-sells under the product list :)