The answer to the first clue in each pair begins with the letters QU. Remove the initial "k" sound and you have (phonetically) the answer to the second clue.
-1. Event along a fault line/Rouse from sleep
-2. The Dionnes, e.g./ React from pain
-3. Hush! / Gunfighter at the O.K. Corral
-4. Musical note / Show uncertainty
-5. Faster / Furniture material
-6. Kind of clock / Witches have them
-7. Pen / These might be famous last words
-8. Suppress / Scrub
-9. Suppress / Source of water
-10. Search / Pioneer's heading
-11. Idiosyncrasy / Slave driver's command
-12. Kind of bee / Withdraw by degrees
-13. Kind of bee / Suffering from heat
-14. Former Vice-President / Cry
-15. Duck sounds / Candle material