Thanks to YITH WooCommerce Added to Cart Popup you could enable an automatic popup to notify the user about the updated contents of the cart. Every time a product is added to the cart, the popup opens automatically, and you can add also up-sells and cross-sells products into the popup.
By combining this plugin with YITH WooCommerce Dynamic Pricing and Discounts the discounted price will also be visible in the add-to-cart popup.
To enable this feature, just make sure that the premium version of both plugins has been installed and activated from the Plugins page. No other option needs to be enabled.
Based on the rule settings, the discount that normally shows in cart will also show up in the added-to-cart popup:
For any further details about YITH WooCommerce Added to Cart, please, refer to the official plugin documentation here.