The easiest way to make sure the write occurs is to write it in two lines - and set your write buffers to instant write.

So try this:

$|=1; # $| is undef by default - which means use buffering - define it
+ as 1 - and it instantly writes.
print FILE scalar localtime;
print FILE " ## Exit\n";
close FILE;
[download]

Alternatively, you can try to build the entire entry into a variable first - then write it. So:

$close = localtime;
print FILE "$close ## Exit\n";
close FILE;
[download]

I hope this helps :).

Update: Remove quotes around scalar localtime in first code block (thanks MZSanford)

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game(Wookie,opponent) eq 'Wookie' ? undef $problem : remove_limbs(arms,opponent);