Removing an item keeps the saving. If a shopper adds a bundle and then removes one product from the cart, the remaining products still get the bundle's discount. With a Price Override, they could pay the bundle price for fewer items, as long as the remaining items cost more than the override. Use a Percentage discount if this worries you.
Price changes and overrides. If you lower product prices below the override total, the shopper pays the lower normal total; the override never makes the bundle dearer.
Out-of-stock item. The whole bundle can't be added. Replace the item or pause the bundle.
Products with sizes or colours. Bundles work best with products without options.
Not on product pages. Shoppers find bundles only on the Product Bundles page. Promote it with a banner or a menu link.
Deleted product. If a product in a bundle is deleted, edit the bundle and remove it.