Here's why:
* Connoisseurship is already a noun, meaning "the knowledge and discriminating taste of a connoisseur."
* It's not a verb, so you wouldn't have an "-ing" form.
* It doesn't naturally lend itself to adjective or adverb forms.
Instead of derivatives, you might use phrases like:
* A connoisseur of… (e.g., "a connoisseur of wine")
* To have a connoisseurship in… (e.g., "to have a connoisseurship in vintage cars")
* Connoisseurship-level… (e.g., "connoisseurship-level knowledge")
Ultimately, the best way to express the concept of "connoisseurship" depends on the specific context of your writing.