Currently, you'll need to go to Configuration > Templates and create a new custom template for the Cart module control. In there, look for the continue shopping hyperlink and add the attribute style="display:none" to that tag so it hides it. Then add a new HTML tag:

<a href="point it to where you want" >Continue Shopping...</a>

Then under Configuration > Settings go to Cart --> Display Template and set it to the new custom template you just created.

This is how customizations work and is a first class feature in the Storefront. You can now customize anything (look and feel) if you follow this procedure.

It works. This is what I did in the cart template:

<td style="text-align: right">
<asp:HyperLink ID="ContinueShoppingHyperLink" runat="server" style="display:none" resourcekey="ContinueShoppingHyperLink"></asp:HyperLink>
<a href="/WebStore/StoreProducts/tabid/159/Default.aspx" >Continue Shopping...</a>
 <asp:Button ID="CheckoutButton" runat="server"
onclick="CheckoutButton_Click" ValidationGroup="CartDisplayTemplateControl" resourcekey="CheckoutButton" />
</td>

Beautiful. Thanks for sharing back!