The half life of a drug means that the time it takes for a substance (drug, radioactive nuclide, or other) to lose half of its pharmacologic properties.So as the
half life is 24 hrs,then it will loose
half of its properties in 24 hrs and the next
half in another 24 hrs if a repeat dose is not taken.There is no other method to clear it up fast.
If the symptoms still persist after stopping Lamictal also,then pls consult a dermatologist and get eczema ruled out.
Hope it helps.