This phrase often implies that the person being spoken to has power to make changes or take action. After weeks of negotiation, the union leaders now have the CEO's ear.
Pro Tip 2/3
Serious Consideration
The phrase suggests that your ideas are taken seriously, not just heard out of courtesy. Her innovative ideas have the manager's ear; she might lead the next project.
Pro Tip 3/3
Building Relationships
Use when you've built rapport with someone influential and they value your input. As a trusted advisor, he always has the senator's ear on policy matters.