The secret to beating an allergy to dust (dust allergy) is usually to eliminate dust in your house with at least one or more air purifying machines and regular housekeeping. Note: Allergy dust is not a technical term; it’s composed of many substances, including pollen, fabric, dust mite feces, and, yes, even dust mites and their dander. Many people are allergic to dust mites, and some have no problem with dust at all. This is different for everyone. Also, note that many allergens are airborne and cannot be eliminated by mere surface cleaning.
If you are allergic to dust, you might consider getting an air purifier for dust and an air filter. This will help you do your part in reducing the allergens that you are exposed to. Note that the best air purifiers for dust removal have HEPA filters that effectively trap particles and fumes in your house and on the air you breathe.