Passage in tape covering border is cut along with old writing (8)
I believe the answer is:
corridor
'passage' is the definition.
(corridor is a kind of passage)
I don't understand the rest of the clue.
Can you help me to learn more?
(Other definitions for corridor that I've seen before include "Long narrow passage with doors into rooms" , "Passage connecting rooms" , "Enclosed passageway wtih rooms off" , "Long passageway" , "way through" .)