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I remember what it is called - the pinch roller.
I had a load of cassettes with lime green labels by BASF.
The young today have it too easy with their CD's being burnt and their MP3 players.
Do you remember using your finger to wind the tape to the beginning, or counting 6 seconds after pressing play, stopping the tape, presiing pause and then the play and record buttons together. Then you put the stylus onto the vinyl record and released the pause button to start the recording. Unfortunately your mate who lent you the record wasn't as careful with his records as you were so there were loads of clicks on the record.