Take it as a starting point (not tested):
/**
* Limit links inside the content.
*
* @param (string) $content
* @return (string) $content
*/
function wpse30754_limit_content_links( $content )
{
// delete all <a> tags in the post
$content = preg_replace( "/<a[^>]*><\\/a[^>]*>/", '', $content );
return $content;
}
add_filter( 'the_content', 'wpse30754_limit_content_links' );
What’s not yet implemented is preserving the first link. You’ll need that on yourself.