Well dragged home a 83 today went to make room in my garage. Threw a battery in my 80 fired up in 2 cranks normal.
Drove it out shut it off pushed the new one in and went to start the 80 just went "click"
Disconnected my battery tested good put it back in fired in 2 cranks. It will crank 2 or 3 times then it will click in the relays?? Really hope it aint another bullshit security alarm issue found a cut harness from the fuse block!

 

Mine would do the same thing. I changed the ignition switch and it went away.

 

Sounds like loose / corroded battery terminals....

 

Ill say its the ignition switch. Because the fuel pump somtimes wont fire up in the on position till the car catches so to speak. Car sat since 94 so it may also be growing pains