Is taking a local honey good for alergies?

No. This is an old wives' tale. The pollens to which you're allergic are small (10-20 microns) and distributed by the wind. Flowers whose pollens are too heavy to be airborne have to be brightly colored to attract bees to cross-pollinate them. Thus, the pollens in honey are not the ones to which you're allergic; thus, there is no allergy benefit to eating local honey.
No. This is an old wives' tale. The pollens to which you're allergic are small (about 10-20 microns) and blown around by the wind. The flowers that are cross-pollinated by bees are brightly colored to attract bees, because their pollens are too big and heavy to be airborne. Thus, the pollens contained in honey are not the ones to which you're allergic - there's no allergy benefit to eating honey.