Another coaxial power plug lost its tip inside a lithium ion battery pack used with the APRS + Voice circuitry on our bikes, as I could barely see at the bottom of the socket:

Rather than cutting the pack apart, I buttered up the end of an intact plug with some ABS solvent glue (a hellish homebrew mixture of acetone and MEK), rammed it into the socket, and held it in place for a minute:

The tip emerged on the first try:

Even better, it cracked off the plug without too much effort:

More solvent glue and a few hours of clamping worked fine:

That cable is now back in service.