Possible Clues:

• Writer's old volume follows inspection, we hear
• Mark on list from radio play producer
• Russian playwright Anton associated with a dramatic principle
• An earl's out of sauce with distilled anchovies, and his drama's renowned!
• What we may send, say, when ordering his Uncle Vanya?
• He put an uncle and three sisters on stage
• Wrote a marriage proposal to author from land of 6 down
• Audience's restraint of playwright
• Knockout volume about hospital suppressed by revolutionary Russian writer
• Dramatist secret police tailed raised at sea briefly