The click of death is a sign there’s probably mechanical damage. If you’re not prepared to shell out the money for data recovery and you’re going to toss the drive anyway, there’s a couple of things you can try. The techniques rely on freeing stuck moving parts, which is the cause iof the majority of dead drives, but they are not without risk and may damage the drive beyond recovery, so don’t try this if there is ANY possibility you may some day want to pay to have the data recovered by professionals.
The first technique is simply to freeze the drive. Stick it in your freezer for an hour or so until it’s literally ice-cold. Then plug it in and see if it’ll start. If it doesn’t, let the drive warm up to room temperature, and heat it with a hair dryer until it’s hot to the touch. Then plug it in and see if it’ll start. By doing this, you’re causing the metal parts to contract and expand, which may be enough to temporarily free a jammed drive head or spindle.
The second technique is, believe it or not, simply hitting it. Hard. Either give it a sharp bash with a hammer, or drop it on the floor. Again, this may cause a jammed drive head or spindle to temporarily free itself.
If you manage to get the drive working using either of these techniques, copy as much of your data as possible, as quickly as possible. These techniques, even if they work, will not work for long. In a best case scenario you may be able to keep the drive functional for long enough to get all your data off, but chances are the next time you try to boot the drive it will be permanently dead.