-- url of the page with the problem -- : localhost
-- HikaShop version -- : 2.6.0
-- Joomla version -- : 3.4.4
-- PHP version -- : 5.4.10
-- Browser(s) name and version -- : FireFox 41.0.1
Hi,
I am still in developer mode for my site and I have an issue with shipping that I can reproduce.
Add an item to the cart and Proceed to checkout, shipping is calculated correctly.
Change your mind at this point and shop, add an item to the cart and then proceed to checkout, shipping still reflects first visit to checkout.
Refresh page with browser, still incorrect shipping amount.
Try to refresh page by using Hika checkout refresh button, shipping still incorrect.
Edit cart and use Hika checkout refresh button, shipping recalculates correctly.
Any help with this would be greatly appreciated. 
Thanks,
Helen