chronophilia:

Etymology: From Greek , chronos , time, and philia , attachment to:

1. One of a group of paraphilias including adolescentilism , ephebophilia, gerontophilia, nepiophilia, and pedophilia, in which the paraphile's sexuoerotic age is discordant with his/her true chronological-age , but is concordant with the age of the partner . Chronophilia is a paraphilia of the stigmatic/eligibilic type.

2. Arousal from the passage of time.