For example:
A king designs a bridge, and he unknowingly does a bad job. He asks an engineer for her opinion, but the engineer fears that if she tells the truth, the dictator will be angry with her.
More generally, I'm thinking of situations in which the principal requests feedback/information from the agent, but fear of retribution prevents the latter from being honest.
It seems like a reasonable example of the principal-agent problem, with conflicting incentives, but I wasn't sure if this situation had its own name.