Clicking is usually indicative of a hardware error, often it's an issue with the heads resulting in an inability to read from the platters so the drive won't fully come online to present itself to the OS.
Software data recovery requires a drive that can be seen in disk management as well as a second drive to recover your files to.
Unfortunately, you need hardware level repair before data recovery can begin.
How important your data is up to you since it is usually quite expensive.
If you can live without your data then you have the option of opening the drive up and seeing what is wrong yourself but this me forgo being able to send it out for recovery later or it may increase the costs.
What happened to cause the issue may help...