One quickly passes on first show of Edinburgh fringe after parking takes an age (8)
I believe the answer is:
ephemera
'one quickly passes on first show' is the definition.
I can't judge whether this definition defines the answer.
'edinburgh fringe after parking takes an age' is the wordplay.
'fringe' means to remove the middle letters (only the letters on the fringe).
'after' becomes 'em' (I am not sure about this - if you are sure you should believe this answer much more).
'parking' becomes 'p' (abbreviation on road signs).
'takes' means one lot of letters goes inside another (take can mean to capture or invade).
'an age' becomes 'era' (both can mean a long time).
'edinburgh' with its middle taken out is 'eh'.
'eh'+'em'='ehem'
'ehem' placed around 'p' is 'ephem'.
'ephem'+'era'='EPHEMERA'
'of' is the link.
Can you help me to learn more?
(Other definitions for ephemera that I've seen before include "Things that exist for only a short time" , "Things lasting only briefly" , "Things that last a very short time" , "Mayfly - something short-lived" , "Mayflies" .)