Например
Azure Redis Cache
https://azure.microsoft.com/en-gb/services/cache/
Но скорее что-то типа
The Azure AppFabric Caching service
https://msdn.microsoft.com/en-gb/magazine/gg983488.aspx
Цитата:
Pre-built ASP.NET providers for session state and page output caching, enabling acceleration of Web applications without having to modify application code