When you press the clutch, you push fluid out and down the clutch line something like 20", when you release the pedal, that fluid comes back into the master. If it is getting dirty in a matter of minutes, then it is either coming from the clutch master (superfine aluminum dust left over from machining the master), or the protective oil coating on the inside of the new line.
I would suspect the coating on the inside of the clutch line. You can disconnect it at both ends and spray some brake clean through it to remove any residue (but make sure you protect items from the brake fluid and brake clean spay that will come out the end, unless you want the paint removed from anything it sprays on). This is best done before the clutch line is installed in the car.
[This message has been edited by fieroguru (edited 03-17-2018).]