Does order by in view guarantee order of select?

I have view for which it only makes sense to use a certain ordering. What I would like to do is to include the ORDER BY clause in the view, so that all SELECTs on that view can omit it. However, I am concerned that the ordering may not necessarily carry over to the SELECT, because it didn't specify the order.

Does there exist a case where an ordering specified by a view would not be reflected in the results of a select on that view (other than an order by clause in the view)?