In any sort of comparison method. For example, you could have a complicated object, but it still has a defined "order", so you could define a comparison function for it (which you don't have to use inside a sort method, although it would be handy):
package Foo;
# ... other stuff...
# Note: this is a class function, not a method
sub cmp
{
my $object1 = shift;
my $object2 = shift;
my $compare1 = sprintf("%04d%04d%04d", $object1->{field1}, $object1->{field2}, $object1->{field3});
my $compare2 = sprintf("%04d%04d%04d", $object2->{field1}, $object2->{field2}, $object2->{field3});
return $compare1 <=> $compare2;
}
This is a totally contrived example of course. However, in my company's source code I found nearly exactly the above, for comparing objects used for holding date and time information.
One other use I can think of is for statistical analysis -- if a value is repeatedly run against a list of values, you can tell if the value is higher or lower than the set's arithmetic median:
use List::Util qw(sum);
# $result will be
# -1 if value is lower than the median of @setOfValues,
# 1 if value is higher than the median of @setOfValues,
# 0 if value is equal to the median
my $result = sum(map { $value <=> $_ } @setOfValues);
Here's one more, from Wikipedia: "If the two arguments cannot be compared (e.g. one of them is NaN), the operator returns undef.", i.e., you can determine if two numbers are a a number at once, although personally I'd go for the less cryptic Scalar::Util::looks_like_number.