Depart suspiciously with Nutmeg's media player (4,5)

I believe the answer is:

tape drive

'media player' is the definition.
(device which stores media on tape)

'depart suspiciously with nutmeg's' is the wordplay.
'suspiciously' indicates an anagram (I've seen this in other clues).
'with' means one lot of letters go next to another.
'nutmeg' becomes 'ive' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'depart' is an anagram of 'tapedr'.
'tapedr'+'ive'='TAPE DRIVE'

I've seen this clue in The Guardian.

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