Preheat the pan, then add oil and preheat the oil until very hot.
You can add butter to the pan after the skin side is nearly cooked. The oil will help keep the butter from smoking. Along with butter, I add a clove of raw garlic and a sprig of fresh thyme, then "speed baste" the butter over the fish. When the skin is crisp, all but the thickest portions are about 90% cooked. Turn and let the skinless side cook just long enough to color -- usually less than a minute.
Then I plate the fish, dump everything else from the pan and make a sauce by deglazing with white wine and lemon juice, and mounting some butter and herbs into that after it's well reduced.
Using a little starch or flour can be helpful in one sense, but it's a different thing. I usually don't use any sort of starch for fish with skin which crisps easily -- salmon for instance -- but do for fish which are more of a challenge in that respect, like sand dabs.
BDL