Learn English – Does one “drive” a motorcycle or “ride” it

I (native U.S. speaker) would use is fascinated with or is fascinated by.

As a child, I was fascinated with with any kind of button I could press. While these days I am fascinated by touch-screen technology, I miss the satisfying click of a button.

If forced to use have or held I could use either depending on which is the subject and which is the object:

Vampire romances hold no fascination for me. I have no fascination with the undead.

RUN(S)

How about, "the train [makes] two [runs] from London Paddington to Penzance and back - one in the morning, one in the afternoon".

Run noun plural noun: runs:

2. a journey accomplished or route taken by a vehicle, aircraft, or boat, especially on a regular basis. "the New York-Washington run"

Synonyms: route, journey

See Google.com, “run” Link

Actual example,

The Paris Metro runs from roughly 05:30 till 00:40 (5:30am – 12:40am) Sunday thru Thursday and 05:30 – 01:40 on Fridays, Saturdays and on days before a holiday. Frequency between most trains range from 2 minutes during rush hour up to 8-10 minutes during off hours, holidays, and sundays.

See, Paris by Train Link