Dazed by a wristwatch with 気が遠くなる

Grammar Explanation

美少女戦士セーラームーン » Kanzenban Release » Volume 6 » Page 264

At the stroke of midnight, Chibiusa wakes to a mysterious glow from her new wristwatch. She gets out of bed in a daze, and begins to leave the room. Her cat, Diana, bites her on the arm, returning Chibiusa from her trance.

“When I looked at this wristwatch, I became lightheaded〰”