Virtualisation techniques are growing in popularity and importance, given their application to server consolidation and to cloud computing. Remote Attestation is a well-known technique to assess the software integrity of a node. It works well with physical platforms, but not so well with virtual machines hosted in a full virtualisation environment (such as the Xen hypervisor or Kernel-based Virtual Machine) and it is simply not available for a lightweight virtualisation environment (such as Docker). On the contrary, the latter is increasingly used, especially in lightweight cloud platforms, because of its flexibility and limited overhead as compared to virtual machines. This paper presents a solution for security monitoring of a lightweight cloud infrastructure, which exploits Remote Attestation to verify the software integrity of cloud applications during their whole life-cycle. Our solution leverages mainstream tools and architectures, like the Linux Integrity Measurement Architecture, the OpenAttestation platform and the Docker container engine, making it practical and readily available in a real-world scenario. Compared to a standard Docker deployment, our solution enables run-time verification of container applications at the cost of a limited overhead.