There are a few common examples of DNA fingerprinting which you have probably seen even if you did not realize it. Everyone has a unique DNA fingerprint (just like actual fingerprints) so this can be used to compare with other DNA fingerprints, study a disease that someone might have, or to prove that a suspect was at a crime scene.
A common example is when detectives take a swab from a suspect's cheek. This is to collect the cheek cells and compare the suspect's DNA fingerprint to that of the DNA found at a crime scene.