You can do this easily with a custom query. Try something like this (I haven’t tested this code, but it should be fine): (EDIT: Changed below to “get_the_post_thumbnail”, also added $post->ID)
<ul>
<?php
$args = array(
'cat' => '17',
'posts_per_page'=>20
);
$sponsors_query = new WP_Query( $args );
while ( $sponsors_query->have_posts() ) : $sponsors_query->the_post();
echo '<li>' . get_the_post_thumbnail($post->ID, array(50,50)) . '</li>';
endwhile;
wp_reset_postdata();
?>
</ul>