To a large skillet, add the butter and heat over medium-high heat to melt butter.: You will notice the butter softening first, then foaming lightly as water evaporates, and finally clarifying with a glossy sheen, that is your cue the pan is hot enough. The smell should become nutty and rich but not burnt, so keep the temperature controlled. This preheating ensures an immediate sizzle when the grouper hits the pan, which helps build a flavorful crust. A common mistake is rushing this step and adding fish to a cool pan; that results in poor searing and a pale exterior.
Dredge fish through flour, coating both sides.: As you dust the grouper with the flour , you will feel it transform from slippery to slightly tacky, which tells you there is enough coating to create a thin crust. Tap off excess flour so it does not clump or burn in the pan, leaving a light veil that encourages browning. This thin coating protects the fish and improves mouthfeel while still letting the grouper flake. Overdredging will produce a gummy tacky surface rather than a crisp finish.
Add fish to skillet, season with salt and pepper, and cook for about 3 to 4 minutes on first side, or until nicely seared and lightly golden browned.: When the grouper meets the hot butter you should hear an immediate sizzle, and within a minute a deep golden ring will start to form around the edges. Watch for that golden brown color and a slight release from the pan, which indicates a good sear. The aroma will be savory and slightly nutty from the browned butter . Resist the urge to move the fillet too early, since letting it develop uninterrupted contact creates the best crust. A common error is flipping too soon, which tears the fillet and prevents even browning.
Flip fish, season with salt and pepper, squeeze the lemon over the fish (use caution because the lemon juice will bubble up when it hits the hot skillet) and cook for about 2 to 3 minutes on second side, or until fish is lightly golden browned on both sides and cooked through. Serve immediately if desired.: The moment you flip, you will hear a renewed sizzle and smell citrus as you squeeze the lemon . The bubbling that occurs is normal, and it creates steam that helps finish cooking the center while infusing bright aroma. The flesh should go from translucent to opaque and flake easily with a fork when done. Overcooking will dry the grouper , so check early and often to hit tender, flaky perfection.
To make the fish tacos, lightly warm each taco shell momentarily on a dry skillet over medium-high heat before adding lettuce, sliced fish, sprinkling with tomatoes, and cheese; set aside while you make the sauce.: Warming the shells releases a toasted aroma and gives them slight rigidity so they hold the filling without collapsing, and you will notice tiny brown spots appear when they are ready. Lay down a bed of crisp lettuce , nestle the warm sliced grouper , scatter the diced tomato , and finish with shredded cheese so each bite has a balance of temperature and texture. If you skip warming, shells can become limp and fail to cradle the fillings properly.
To a small bowl, add the mustard, honey, lemon juice, salt, pepper, and whisk to combine. Taste, check for flavor balance, and make any desired tweaks. Drizzle sauce over tacos and serve immediately. Fish will keep airtight in the fridge for up to 3 days and sauce will keep airtight in the fridge for up to 1 week.: As you whisk, the sauce will thicken and glisten; the grainy seeds from the dijon mustard add little pops of texture while the honey smooths the sharp edges. Taste for a sweet tart balance and adjust a drop of extra lemon or a pinch more salt as needed. A bland sauce usually means it needs more acid or salt, so tweak cautiously until it sings. Overmixing is not an issue, but adding too much honey will mask the mustard's character.
Drizzle sauce over tacos and serve immediately. Fish will keep airtight in the fridge for up to 3 days and sauce will keep airtight in the fridge for up to 1 week.: The final drizzle should add a glossy sheen and a tangy finish to each taco; the contrast of warm fish and cool sauce is very satisfying. If you store leftovers, the fish will remain usable but will lose some crispness, so reheat gently to preserve texture. Be mindful that refrigerated shells can become soft, so consider reheating briefly before assembling. A common oversight is leaving assembled tacos too long before serving, which makes shells soggy.