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What does that mean? How would a pot act like a clutch? What is the pot to do?
The Joystick library requires an Arduino with native USB like a Leonardo or Micro. It won't work on a Nano without external hardware (USB host shield or equivalent).
I think it's like the F1 cars used to use yonks ago.
Bit like a windscreen washer lever.
These days all that is automatic, paddle or the latest equivilent, (buttons) are now used to change gears up or down with auto clutching.
After thinking about it for a while and with the previous answers in mind, maybe buttons or paddles are used to switch gears up and down with an automatic clutch. The clutch paddle would only be used at the standing start to get the vehicle moving? And using a pot instead of a switch would allow the smooth "feathering" of power to the wheels to mitigate wheel spin.
From what I know (not much ) "paddle shift" is used on those "continuous variable ratio" Xmissions to allow overriding "auto" but only in fixed steps, 5 ~ 8 speeds. I honestly don't know exactly how they work.
Just to answer the question, assuming that you want nothing to happen as you start moving the pot until you reach a certain position and then everything happens, what you need to do is to read an analogue voltage from the pot and compare it with a threshold - if above the threshold do something. If you had the pot operated by a lever and depending which way you move it different things happen once you get beyond certain points, then you just need 2 thresholds, upper and lower. So if for example the pot voltage was +2.5V at the centre position you might set the thresholds at +1.5 and +3.5 volts. Implementing in code is easy and an "exercise for the reader"! You might also want to put in some "hysteresis".
One can do stages by counting button presses.
Long or short also can make a different outcome.
Lever can be connected to pot in such a way as to copy the turning of the pot shaft if that is required.