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Pros
Pro Easy setup
All that's needed to setup a multi-container application with Compose is a single file configuration file. Finally the application can be spun up with only a single command.
Pro Great for local development
Docker-compose isn't really meant (yet) for distributed deployment, but using it to deploy a website locally for testing is awesome. You could use it, with care (like handling faults), on a single server as well.
Cons
Con More geared towards development
No really made for production.
Con Not ready for production yet
While Compose is very good for staging servers, CI and development environments, it's still not ready for production and it's not recommended to be used in production yet.