In simpler terms Bespoke Magento Solution or Bespoke Magento Development means custom made solutions, services tailor made specifically for a Magento Store based on specific business requirements. Bespoke Magento development is typically done for a store that has a noticable traffic and sales. It could be layout (theme) specific changes for the existing Magento store or feature level (Magento Extensions) to enhance features specifically suited for a Magento Store. When looking for Bespoke Magento development, Magento store owners keep a check list of enhancements, changes for their existing Magento store.
A majority of Magento stores are selling different products but carrying out operations based on Magento defaults, but what if you have a requirement which is not possible with default Magento core.