Hi,
There is no history of products removed from the cart.
There is however a list of recently viewed products.
If you create a module of the type HikaShop content module, configure it on your main category, with the "synchronize" setting deactivated, the "sub element filter" on "all sub elements", and the "recently viewed" setting activated, you should get a listing of the recently viewed products, which should basically be a more exhaustive list of the products the user was interested in.
Another close capability is the reminder plugin:
www.hikashop.com/marketplace/product/241-reminder-plugin.html
It can send emails to the users for their abandoned carts and orders.