Place the olive oil in a skillet and heat over medium heat. Add the cauliflower and thyme. Cook and stir until the cauliflower begins to brown, about 8 minutes.
Add the figs and olives and cook for about 1 more minute until heated through. Add the vinegar and paprika and cook another minute, scraping up any bits on the bottom of the skillet.
Place in a serving bowl and sprinkle with a little more paprika, if desired.