It’s not a dish, though. It’s just a pasty green substance that you find inside the lobster as you’re making your way through the body cavity.
I’ve been at large-scale lobster feasts where hundreds of crustacean lovers sat at long outdoor tables gorging on lobsters freshly pulled from enormous boiling cauldrons. Invariably someone will ask, “Anybody want the tomalley?” One person will speak up, and all the other suddenly squeamish folks will pass this supposed delicacy down to that one, who takes it all in with a satisfied grin and appropriate sounds of delectation.
I’m always one of those who are willing to let somebody else have the pleasure.