Possible Clues:

• A new date in summer turns up a cold-blooded customer!
• Dewlapped creature
• Creature with a dewlap
• Creature whose tail makes up half its body's length
• I come across design for a dress in Ireland with exotic pet
• A gun I fired to get a lizard
• Tree-climbing reptile
• Certain reptile pet
• What Puerto Ricans call ''tree hen''
• One who might stick his tongue out at you?