1. To allow or grant someone the opportunity to do something. If you would just give me a chance, I know I would be a great asset to the company.

2. To take time to try or get to know someone or something before dismissing them or it; to give someone or something a fair and thorough consideration before making a judgment. Come on, give Matt a chance—he's really a nice guy. You've only been at your new job three days, so you should give it a chance before making any drastic decisions.