We bought closed on our (first home) in November 2016, but didn't start paying the mortgage until January of 2017. Is there anything that be claimed on 2016 taxes?

[mneckert]

We do not have a 1098 for the house because we didn't start paying the mortgage until 2017.
This is the first home that both of us have ever bought.

[jerry2000]

You can deduct mortgage interest, points, and real estate property tax paid at closing. You report those expenses along with other mortgage interest/property taxes paid in the year at
Federal Taxes (or Personal if using Home and Business)
Deductions And Credits
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My Home

All other costs paid at closing, including transfer taxes, "stamps", escrow fees, etc., are NOT deductible from current income, instead you add them to the cost basis of your home and you will get the benefit when you sell.

If you buy late in the tax year, you will not likely get any tax benefits for that year.