Clue: Player gets lively chap to fry eggs (5,8)
Answer: PEGGY ASHCROFT
Explanation: Definition: Player

***(chap to fry eggs) **[anag:*lively*]
 

 
*Dame Peggy Ashcroft (1907-1991) was an English actor of stage and screen, who won a Best Supporting Actress Oscar in 1985 for *A Passage to India*.