Clue: Chairman working round estate, maybe, gets biscuit (8)
Answer: MACAROON
Explanation: Definition: biscuit
 [ MAO(Zedong or Tse-tung aka Chairman Mao of China) + ON(working/functioning) ] **containing**(round) CAR(an example of which/maybe, is the estate, a vehicle with a large boot accessed by a door at the rear).