Implies actively overseeing someone's actions, not just passively observing. Our manager has to ride herd on the new hires to ensure they follow procedures.
Pro Tip 2/3
Responsibility
Suggests a person has been given the responsibility to control or guide. As the oldest cousin, I often have to ride herd on my younger cousins at reunions.
Pro Tip 3/3
Colloquial Expression
It's a casual expression, not typically used in formal writing or speech. In meetings, I'm informal and say I'll ride herd on the project's progress.