Cryptic Batman Crossword

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Across
  1. 2. Rub up against them and you'll get more than a rash (6,3)
  2. 3. If he wasn't so mesmerized by lights he would be a proper villain (6,4)
  3. 4. Gotham City's puzzlemaster
  4. 5. Contrary to his name, he's more Bat than Man (3,3)
  5. 7. He frightens more than birds
  6. 8. You can't kill this arsonist with bug spray
  7. 11. This guy had a short life; only lasted a week! Or did he? (7,6)
  8. 13. What this suited bird lacks in height he makes up for in guns
  9. 14. Gotham's master of disguise
  10. 15. Batman's chiropractor
  11. 16. Missing is not in his job description
Down
  1. 1. Gray's on night watch in Gotham
  2. 3. Crikey! He'd make one massive handbag! (6,4)
  3. 6. Gotham's coolest villain (2,6)
  4. 9. His tea parties are insane! (3,6)
  5. 10. This clown isn't funny
  6. 12. The only straight cop in Gotham
  7. 17. Ssshhhhhh! If you're noisy you won't know who this is!
  8. 18. Heads or tails? (3,4)