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use strict;
use warnings;
...

@newList = @list[@newOrder];
print qq{@newList\n};

zero one two three four
three zero four one two
one three four zero two

This code

...
$newList[2] receives $list[4] which is 'four'
$newList[3] receives $list[0] which is 'zero'
$newList[4] receives $list[2] which is 'two'