Possible Clues:

• British dramatist consuming half of game — duck, perhaps
• Chicken or half of game consumed by 1960s playwright
• Skewer's great for spearing all but the head of jerk chicken
• Breed of domestic fowl that lays brown eggs
• Breed of poultry
• London suburb
• Playwright covers first half of game somewhere in London
• Playwright eats half the game and all the fowl
• Joe bored by first half of game, being chicken
• Chicken portion is bad — no good getting stuck in