Is it possible to get random terms? To get random posts you could use WP_Query and set 'orderby' => 'rand'.

But is there any way to do that with terms?

I’ve tried this:

$terms = get_terms( array(
    'taxonomy' => 'webshops',
    'hide_empty' => false,
    'orderby' => 'rand',
    'number' => 6
) );