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1
In a medium saucepan, combine the wine, shallots and thyme and simmer, uncovered, until the wine is almost evaporated, about 45 minutes.
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2
Whisk in the heavy cream and set aside.
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3
Using a mandoline, cut the potatoes lengthwise into paper-thin slices.
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4
Place the slices in a large bowl, toss with 2 tablespoons of the clarified butter and season lightly with salt.
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5
Season the fish fillets with salt and shape them, tucking in thin portions as necessary, to form compact rectangles.
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6
On a square of baking parchment or wax paper, overlap the narrow ends of 2 potato slices by 1 inch.
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7
Lay 2 more slices down in the same manner, overlapping the sides of the first 2 by 1/2 inch.
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8
Repeat until you have 4 rows of slices.
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9
Place each fillet lengthwise across a row of potatoes.
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10
Wrap the potato slices around the fillets, using the parchment paper to help lift the slices.
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11
Refrigerate.
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12
In a small saute pan, heat 1 tablespoon of the clarified butter over medium heat.
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13
Add the leeks and cook, stirring occasionally, until they are cooked through, 8 to 10 minutes.
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14
Season the leeks with salt and pepper and set aside to keep warm.
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15
Over a low flame, bring the reduced wine and cream to a simmer and whisk in the butter chunks, 1 at a time.
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16
Remove from the flame, season with salt, pepper and the sugar and strain the sauce through a fine-mesh sieve.
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17
Return the sauce to the pan and set aside to keep warm.
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18
Preheat the oven to 400 degrees.
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19
Place a large nonstick skillet on top of the stove over high heat.
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20
Add the remaining tablespoon of clarified butter and the wrapped fish fillets, seam sides down.
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21
Saute, turning once, until the potatoes are crisp and golden brown, about 8 minutes.
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22
Check the fish for doneness, and transfer the skillet to the oven if the fish needs to cook longer.
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23
Serve the fish on a bed of leeks with the sauce spooned around.
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24
Garnish with chives.