1. in a manner that shows excessive eagerness or enthusiasm; too keenly or enthusiastically

Examples

• She overeagerly volunteered for every project at work, which made her colleagues question her motives.
• The puppy overeagerly jumped on every visitor to the house.
• He overeagerly accepted the job offer without reading the contract carefully.
• The new student overeagerly raised her hand to answer every question in class.
• They overeagerly invested all their savings in the startup without proper research.
• The child overeagerly opened his birthday presents before everyone arrived.