If the clutch disengages properly then the compressor should not be running. Most likely the clutch itself is bad instead of the compressor.
A bad compressor belt can cause a whistling noise while running the air conditioner. A bad engine can also cause this noise.
A/C compressor? A/C compressor?
The A/C system compressor operates when in the defrost mode. If the noise is also heard when running the A?C it is more than likely a problem with the compressor/pulley.
Your refrigerator may be making noise when running due to the compressor, condenser fan, or evaporator fan. These components work together to cool the refrigerator, and their normal operation can produce some noise. However, if the noise is loud or unusual, it could indicate a problem that may require professional repair.
Most likely the compressor. It could also be the valve in the system too, when refrigerant gets low. What sort of noise is it???
Its the compressor starting to seize up. You will need a new soon and they are expensive your looking around $1300.
Bad belt. Worn tensioner. Bad compressor.
Your fridge may be making noise due to the compressor running, the fan motor operating, or the defrost cycle activating. These are normal functions of a refrigerator and should not cause concern unless the noise is unusually loud or persistent.
bearing
If the compressor is running, the blower is blowing, and there's no cold air, you need freon. If the whining is from under the hood, the compressor may be damaged. That's what happens when running without freon.
Check for a slipping drive belt between encine crank pulley and AC compressor pulley.