Nissan Rogue AC Compressor Question

You can't normally press on the outer portion of the clutch and have it engaged. The part that moves is on the backside of the exposed part. The entire clutch plate doesn't move, just the inner part that contacts the pulley.

To test it with the engine off, you can apply 12V to the coil and you should hear it engage. If not then you have an issue with it.

(Copying my previous comment here as I do not know if the poster to whom I am replying get notified if I am posting a comment, as opposed as a reply)

Thank you for your prompt reply. Could you please clarify where is that part that moves "on the backside of the expose part"? Is the part that moves part of the coil/pulley/clutch, or is it inside the compressor? I will surely test with a 12V. But it would be nice to know where the moving part is that moves when the clutch engages. Right now I just don't see how anything can move: neither the pulley, nor the coil, nor the clutch, nor the compressor shaft moves axially (at least when the engine is off). If nothing moves axially, how can the clutch close the air gap and engages with the pulley?

Here's an old AC compressor clutch hub i have in my possession.

It's pretty simple, actually. Any clutch hub is made of two parts. A friction disc and the actual shaft plate. The friction disc is what's really pulled upon the pulley once the clutch coil gets energized. The shaft plate remains stationary on the compressor shaft instead, not moving neither backwards nor forwards.

One or more flexible elements (which can be a rubber ring, a set of rubber pads or a set of metal "leaf" springs) is/are what separate/s these two parts.

In my clutch hub, the flexible elements are a set of three rubber pads. Pressing the shaft slot forwards (what the stationary compressor's shaft is effectively doing) and the friction disc backwards (what the clutch coil is doing through an electromagnetic field) widens the gap between the two parts, effectively making the friction disc retract backwards. This is what happens when you turn AC on. While moving backwards, the friction disc eventually contacts the pulley's friction surface and the compressor shaft starts rotating together with the engine shaft as a result. Obviously, whenever the compressor clutch coil stops getting energized, the flexible element recalls the friction disc forwards into its original position.