99.99% of the time when you short battery cables you kill the fuse
links.  These are 8" or so soft rubber wires with big fat rubber tube
crimp connectors where they join the harness.  The normally come off the
starter solenoid or relay.  Just follow the main positive battery
cable.  Where it bolts on, the fuse links bolt on the same place.  You
replace them by color or gauge and the new ones must be crimped on.  The
dealer sells the wire in bulk.

They connect things like the alternator to the harness so even if you
follow the main alternator wire, you will find the fuse link wire where
it joins the battery cable.

The clicking can also mean the 'new' battery was never charged....

Mike
86/00 CJ7 Laredo, 33x9.5 BFG Muds, 'glass nose to tail in '00
88 Cherokee 235 BFG AT's