# the initial array
my @AOH=(
   {dayOfMonth=>19, clockReading=>02},
   {dayOfMonth=>21, clockReading=>12},
   {dayOfMonth=>15, clockReading=>04},
   {dayOfMonth=>19, clockReading=>05},
   {dayOfMonth=>15, clockReading=>23},
   {dayOfMonth=>19, clockReading=>12}
);

# here's where you specify the ordering for the days of the
# month...
my %dayOfMonthMap=(
   21 => 1,
   17 => 2,
   14 => 3,
   15 => 4,
#...
   19 => 21, # let's say
);

# For speed, let's remap that to an array, with the index
# being the day of the month
my @dayOfMonthRemap;
foreach(keys %dayOfMonthMap) {
    $dayOfMonthRemap[$_]=$dayOfMonthMap{$_};
}

#ok, now we're ready to sort!
my @sortedArray=sort {
                        # if it's the same day, the || will make
                        # this compare by clockReading
                        $dayOfMonthRemap[$a->{dayOfMonth}] <=> $dayOfMonthRemap[$b->{dayOfMonth}] ||
                        $a->{clockReading} <=> $b->{clockReading}
                     } @AOH;

# Let's print out the result to make sure it's sane...
foreach(@sortedArray) {
    print "$_->{dayOfMonth} : $_->{clockReading}\n";
}