I’ve found that the My Account navigation links on mobile devices make it difficult and unintuitive to do anything. The entire screen is taken up by the links and some customers are unsure what to do.
I’m using the Storefront + ProShop Theme. Is it supposed to work like this or should it be a dropdown on mobile devices? Video here: http://d.pr/v/ab3Qg
If you want it to be mobile friendly you’ll need to add some custom css. Though for a page as unimportant as the my-account page I’d probably ignore that quirk.