Using masking tape, attach 2 wooden spoons to your work surface, placing them side by side with handles extended over edge. Lightly brush oil over handles. Cover floor with newspaper.

Prepare an ice-water bath. Bring sugar, corn syrup, and 1/4 cup water to a boil in a small saucepan over medium-high, stirring until sugar has dissolved. Cook until mixture turns pale amber, 8 to 10 minutes. Remove from heat; transfer pan to ice-water bath. Let cool until slightly thickened (like the consistency of honey), about 1 minute.

Cut the looped ends of a wire whisk with wire cutters (or use 2 forks held back to back). Dip ends into caramel. From about 2 feet above spoon handles, swing caramel back and forth like a pendulum in long arcs, allowing strands to fall in thin threads over the handles. Immediately gather strands into a loose nest. (If caramel becomes too stiff, gently reheat over low.) Use immediately.