I can reproduce the problem with your client/server combo. Running the server part under strace indicated the process had been "killed by SIGPIPE":
...
[pid 27966] write(4, "58\n", 3) = -1 EPIPE (Broken pipe)
[pid 27966] --- SIGPIPE (Broken pipe) @ 0 (0) ---
Process 27966 detached
[pid 27967] <... accept resumed> 0x4219cef0, [4096]) = ? ERESTARTSYS (
+To be restarted)
[pid 27967] +++ killed by SIGPIPE +++
Process 27967 detached
[pid 27968] <... accept resumed> 0x4299def0, [4096]) = ? ERESTARTSYS (
+To be restarted)
[pid 27968] +++ killed by SIGPIPE +++
Process 27968 detached
<... futex resumed> ) = ? ERESTARTSYS (To be restart
+ed)
+++ killed by SIGPIPE +++
Adding $SIG{PIPE} = 'IGNORE' to the server code solved the issue for me. You probably also want to check if the print $client "$second\n" failed, in which case you should close the connection properly (otherwise, the respective threads will remain busy for 60 seconds printing to nowhere...):
...
for ($second=60; $second>0; --$second) {
sleep 1;
last unless print $client "$second\n";
}
close $client;
...