Time to copy old recording (4)

I believe the answer is:

tape

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'old recording' is the definition.
'tape' can be an answer for 'recording' (tape is a kind of recording). I am not sure about the 'old' bit.

'time to copy' is the wordplay.
'time' becomes 't' (abbreviation).
'to copy' becomes 'ape' (ape can mean to copy or imitate).
't'+'ape'='TAPE'

Can you help me to learn more?

(Other definitions for tape that I've seen before include "Recording material" , "Breast this first to win foot-race" , "Race finishing-line" , "Common medium for recording" , "Measure" .)

I've seen this clue in The Sun.

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