Craft Commerce 2.0.2 Shipping Rule Names & Descriptions—How?
You have to can loop through the shipping rules for the shipping method.

{% for handle, method in cart.availableShippingMethods %}

  {% if method.shippingRules|length %}
    {% for shippingRule in method.shippingRules %}
      {{ shippingRule.name }}
      {{ shippingRule.description }}
    {% endfor %}
  {% endif %}

{% endfor %}