I'm working on a refinance and received an NFIP policy reflecting the current lienholder. I asked the insurance agent to revise the flood policy to reflect the new lender, however, was told that they can't make any changes as the current lienholder (not paid off yet) still has an insurable interest to the property. In addition, they clearly state that it will take a few days after loan closing to obtain the revised declaration page reflecting the new lender. This never happened before, we always get the declaration or endorsement with the new lender on or prior to closing. How do we go about this? Any thoughts?

I would not sweat it as long as it happens. You are not technically the new mortgagee until the loan closes.