I think is as simple as using Timber’s Timber::get_posts()
instead of the WP_Query
class:
$context['testimonials'] = Timber::get_posts( ['post_type' => 'what_our_clients_say', 'posts_per_page' => 2] );
Timber::render('whatever.twig, $context);
… from there you can loop through the testimonials and access ACF values via meta:
{% for post in testimonials %}
<h1>{{ post.attribution }} says:</h1>
{# more here #}
{% endfor %}