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$memd->set("mem_id_cache", \@array);
                           ^^^^^^^
...
@tmp = $memd->get("mem_id_cache");
^^^^
array

my @items_to_stored = qw( a b c );
$memd->set("mem_id_cache", \@items_to_stored);
my $stored_items = $memd->get("mem_id_cache");
print "$_\n" for @$stored_items;