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/** @var \Magento\Eav\Api\AttributeSetRepositoryInterface $attributeSet **/
protected $attributeSet;

public function __construct(
    ......
    \Magento\Eav\Api\AttributeSetRepositoryInterface $attributeSet
    ......
) {
   ......
   $this->attributeSet = $attributeSet;
}


//Build method to get attribute set
public function getAttributeSetName() {

    $product = $this->getProduct();
    $attributeSetRepository = $this->attributeSet->get($product->getAttributeSetId());
    return $attributeSetRepository->getAttributeSetName();
}