My two immediate responses with little reflection would be A.) use in cocktails, or B.) ice cream topper.

I might have more ideas later.

Base for barbecue sauce or gravy.

make coffee jello using unflavored gelatin
coffee jello shot
Es alpukat https://www.epicurious... with reducing the coffee and sweet condensed milk
I'd think making coffee flavored bread would works as well (using it as sugar source)

You could make a coffee granita - more of a summer thing, but one of my favorites.

There's also a really good chocolate loaf cake recipe from Nigella Lawson, where you pour cocoa syrup over the top when it comes out of the oven - I think using coffee syrup would be excellent too: http://www.cookingchanneltv...

Make a coffee cheesecake, add it to a chocolate cake recipe or a slow cooking roast beef or beef stew,

Thanks for all your suggestions! Since I added sugar, the syrup is about as sweet as maple syrup. I think the it might be too sweet for savory recipes and I’m not a big fan of sweet-and-sour combos (although I often have leftover coffee, so I’m saving those suggestions for another day).
But Coffee-tinis? We always make a flavored martini for Christmas Eve, so this year might be coffee!
I also do a lot of Holiday baking, so Nigella’s chocolate cake in mini-loaf pans just might appear on a fellow Food-52er’s doorstep next month...

Dorie Greenspan uses this as a glaze for pastry in Baking with Julia....

Turn some of your favorite chocolate items into mocha versions.