80cdeduction

Is he proposer of the policy?

If yes, he can claim deduction.

1. As per sec 80C "the sum referred to in sec 80C(1) shall be any sums paid or deposited in the previous year by the assessee".
2. From the above reading, it is clear that such sum should have actually been paid by the assessee in order to claim deductions under this section and it can even be in the name of the family members. 
3. In your case, it is necessary that such payment should be made by the assessee himself in the name of his bank account in order to have a clean deduction without any mishap. 
Please correct me if the above interpretation has an alternative view. 

1. That can be done but how do you prove to the Income-tax authority that such payments are reimbursed. The better way is to make the payment on the person who is claiming the deductions to avoid any unnecessary question. Though reimbursement of such expense looks legitimate. But questions like is it done before the end of the FY and why such reimbursements ...? could arise.