Professional data recovery from a dead drive is horrifically, terrifyingly expensive. If it turns out to be a problem with the disk itself, you're almost always better off chalking it off as a learning experience and making proper backups in future.
That said, it might not be the disk itself. There's a number of reasons why it might have failed, so you need to narrow that down. Try a different USB cable, different PC, different power supply if possible.
It could be the controller in the caddy rather than the disk itself so if you're practical it might be possible to disassemble the caddy to remove and reseat the drive inside it, or hook the drive up to a PC bypassing the caddy. Find a local geek, we accept payment in most major forms of alcohol.
If it's in warranty then you should be able to get it repaired, however your data will be the last thing they care about and there's every chance that it'll come back wiped clean.