Display product link in basket.

I have a category displaying products with the product parameters configured as:

Random items No
Display 'Add to cart' button Yes
Link to the product page No
Display price Yes

The products have no images, descriptions or any other information.

Click on 'Add to cart' button, product appears in cart.
Click on the product in the 'cart' and it takes me to a page with product title and price - but no other information as I have not entered it - to be expected.

What I would like to happen is for the product's category to display instead (with the list of products in that category).

I assume customising the cart template would be one way of achieving this.
Is there another way / new feature request?