Will's Cryptic Crossword

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Across
  1. 2. Chatter from unpleasant woman might save lives in vehicular accidents.
  2. 7. Crazy person studies data.
  3. 8. Chef enjoys baked goods, for example.
  4. 9. Popular jewellery surges ahead.
  5. 10. Bill Murray resents earth pig.
Down
  1. 1. Don't punch respite from the sun.
  2. 3. Little demon makes no mistakes.
  3. 4. Poaching might lead to hospital waiting room.
  4. 5. Flying creature known for cruel words.
  5. 6. French white dessert suffers skin disease.