If it refers to the taste of meat, then "gamey" means that the meat tastes like wild game [ ducks, rabbit, hare, pigeon, deer, buffalo, crocodile etc]

I'm gamey! :P

gamey or gamy ( both are correct) 1- spirited; plucky; brave -- used especially of animals 2 a : having the flavor of game; especially : having the flavor of game near tainting b : smelly 3 a : sordid, scandalous <gave us all the gamy details> b : corrupt, disreputable <a gamy character>