What attackers do. Attackers break out of a container or virtualised environment to gain access to the underlying host, and from there to other containers or the wider environment. This serves the Privilege Escalation tactic.
How to defend. Do not run containers as privileged or as root, avoid mounting sensitive host paths or the container runtime socket, and apply security profiles such as seccomp and AppArmor or SELinux. Keep container runtimes and host kernels patched, and use admission control in orchestration platforms to enforce these rules.
Signs to look for. Look for containers started with privileged flags or host mounts, processes in containers accessing host namespaces, and kernel exploit behaviour. A common gap is lack of runtime monitoring inside container platforms.