I reacently tried an Asana bot for G Mail Hangouts. It turned out it was not created by Asana, but some other company, but I have to tell you we loved it.
We have now stopped using it as we cannot confirm the reliabilty of the developer, but the benefits were amazing.
The bot allows you to create a chat room, where you can link multiple Asana projects. You can customize what updates the bot will pull from Asana and drop in the chat.
This way we created a room for each of our bigger customers and then we had a central place where the entire team could receive real time notifications about what was happening in every place which is related to this customer. Something Asana is currently desperately missing.
It will be nice if Asana can develop their own bot, given the tight integration they are working towards with G Suite.