It's pretty strange because he would have no need to use another person for Localbitcoins trades. It doesn't ask for KYC unless you're handling large amounts. Did he talk about how much money would be involved? You'll probably be aiding in money laundering with your personal information at worst, and you get an easy job at best.
Is this a legit job offer? Is it even legal? I have no idea how this stuff works and I have been trying to research it all. I don't want to agree to something that will get either of us in trouble.
It's legit and legal under normal circumstances, but this sounds shady, so take everything with a grain of salt. Post any additional details here so the community can help you.
The trading you would be doing would be pretty straightforward though, if you're worried about that.