**Core Concept**
The patient's presentation of itchy papules over elbows, along with a history of coeliac disease, and histopathology showing papillary tip microabscesses, is indicative of dermatitis herpetiformis (DH). DH is a chronic skin condition characterized by intensely itchy blisters and is often associated with coeliac disease.

**Why the Correct Answer is Right**
The recommended treatment for DH is a combination of a gluten-free diet and topical corticosteroids or oral dapsone. Dapsone works by inhibiting the release of histamine from mast cells, which are involved in the pathogenesis of DH. It also has anti-inflammatory properties that help to reduce the severity of the skin lesions. In patients with DH, the ingestion of gluten triggers an immune response that leads to the release of histamine and other chemical mediators, resulting in the characteristic skin lesions.

**Why Each Wrong Option is Incorrect**
**Option A:** Topical corticosteroids, while useful in reducing inflammation, are not the primary treatment for DH. They may be used in conjunction with dapsone, but they do not address the underlying gluten sensitivity.
**Option B:** Oral prednisolone is a corticosteroid that can be used to treat various skin conditions, but it is not the preferred treatment for DH due to its potential side effects and lack of specificity for this condition.
**Option C:** Cyclosporine is an immunosuppressive agent that can be used to treat severe skin conditions, but it is not typically used to treat DH. Its use would be considered in refractory cases, but it is not the first-line treatment.

**Clinical Pearl / High-Yield Fact**
It's essential to note that DH is a skin manifestation of coeliac disease, and treating the underlying gluten sensitivity is crucial to managing the condition. Patients with DH should be advised to follow a strict gluten-free diet to prevent exacerbation of symptoms.

**Correct Answer:** C. Dapsone.