While many of the other solutions are perhaps a closer fit to your problem, I thought that I would show you a solution that is closer to the code that you tried: 
use strict; use warnings;

my @array_1 = ("tom","harry","diana","nick","sally","henry");
my @array_2 = ("play()","eat()","sleep()");

foreach (@array_1)

{
    my $action = shift(@array_2);

    print "$action maps to $_\n";    

    push(@array_2, $action);

}

which prints

play() maps to tom
eat() maps to harry
sleep() maps to diana
play() maps to nick
eat() maps to sally
sleep() maps to henry

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In reply to Re^3: Implementing a cyclic array by ramlight
in thread Implementing a cyclic array by perlpal

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