I think that to use strict is a good programming practice, like sane variable naming, not using gotos and all of that. Just yesterday I found that debugging script without use strict is long and painful. Consider this typo in a more than 1000 lines of code script:
my $places_labels = {};
# .... about 100 lines skipped
while (my $p = $i->next) {
$place_labels->{$p->id} = $p->name;
}
All you need to find such typo is to use strict.
Perl, like Unix, will not stop you to shoot your own foot. You may not use strict if you know what you're doing.
Warnings is similar to strict. If you want to make fast and ugly code that just works and hear no complains from perl - just don't enable them.