Possible Clues:

• -- Parker (busybody)
• Decisive answer, followed by opposite one after reflection — that's curious
• Inquisitive (Var.)
• Intrusive
• Given to prying (Var.)
• Offensively inquisitive
• Hardly unconcerned: Var.
• Showing too much interest in other people's affairs
• Compulsively curious (var.)
• I agree, on reflection, that's curious