Add the chicken thighs to a large bowl or baking dish, pour beer over the chicken, cover and refrigerate for 30 minutes.
Remove from beer, pat dry.
In a small bowl stir together the lime zest, flour, pepper and salt.
Heat the olive oil in a pan over medium high heat until hot but not smoking.
Dredge the chicken in the flour mixture until well coated.
Cook the chicken until golden brown on each side and cooked through, about 4 minutes per side.
Plate the chicken, top with a sprinkle of gorgonzola cheese and blackberries.