Deoxyribonuclease is any enzyme that catalyses the hydrolytic
cleavage of the phosphodiester bond links in the DNA back bone (aka
the bits between the pentose's).
So because it shares the characteristics of a nuclease it has a
mojor effect on the DNA itself. Depending on the specificity of the
particular deoxyribonuclease it has the potential to dissintegrate
a DNA polymer- essentially making it impossible for division.
This principle is why it is an effective enzyme to be inhaled by
those suffering from Cystic Fibrosis.