Skunks are common in rural and suburban areas, and pets are curious about these waddling, furry creatures. Unfortunately, skunks are not sociable and will spray their bitter, overpowering oil on curious pets, but it is possible to de-skunk your pet if it is sprayed. It is important to take action quickly, however, because the longer the oil remains on your cat or dog, the longer the scent will linger even after the animal has been cleaned.