I don't think there's a switch in the admin to do this (easy enough to install one I suppose.)
Find the 2 places in /templates/content/shopping_cart.tpl.php where this block occurs:
Code:
' <td class="productListing-data" align="center"><a href="' . tep_href_link(FILENAME_PRODUCT_INFO, 'products_id=' . $products[$i]['id']) . '">' . tep_image(DIR_WS_IMAGES . $products[$i]['image'], $products[$i]['name'], SMALL_IMAGE_WIDTH, SMALL_IMAGE_HEIGHT) . '</a></td>' .
(including the dot at the end)
and change to
Code:
/* ' <td class="productListing-data" align="center"><a href="' . tep_href_link(FILENAME_PRODUCT_INFO, 'products_id=' . $products[$i]['id']) . '">' . tep_image(DIR_WS_IMAGES . $products[$i]['image'], $products[$i]['name'], SMALL_IMAGE_WIDTH, SMALL_IMAGE_HEIGHT) . '</a></td>' . */
Simon