My car was completely dead, no accessories. Then, we tried to jump it; was slow to take the charge, it made a clicking noise, after a few minutes, the radio would turn on. Charge left as soon as the cables were off. Any ideas?

Install a new battery, after having it fully charged.

Sounds like a dead cell in the battery. TxGreaseMonkey is right... new battery.

If the car died when you took off the cables its probably a bad alternator. And battery.