I know the data is important ... but a clicking drive is hardware not firmware as I understand it (?). Happy to be corrected.
I would attach the drive again. If it still clicks you may be talking true pro recovery work which does not need a donor drive, as
@P1LGRIM said.
If the drive mounts, personally I would run the TestDisk utility in non-write mode just to see if it can show any of your file-system and data. If yes, that would indicate the data is possibly recoverable with software. If no ...
Don't try if you don't trust doing this.