After a burglary:
Officer: Oh, so you have a camera right over your safe. Was it on and recording?
You: Yes, I have the guys face nice and clearly, good resolution, lighting etc.
Officer: Can we have a copy, please? We'll run it against our mugshot database
You: No, but you can give me your mugshots and I'll run it though my system if you like
As an aside, I got burgled once - I was the nice bloke in a crappy neighbourhood. I had 4 computers in the house at the time - only my laptop got nicked - I'm sure I could have had camera all over the place and got pictures of the guy. Not sure it'd have helped all that much back then though.
The beat cops asked for a crime scene investigator because they found a bit of a boot print on the floor. She came next morning (Saturday), and looked and sounded like she had a hangover. She wasn't impressed with the boot print. Eventually, another cop came over to sort of round things off. I asked what was really going to happen about this - to his credit, he was honest - he said not much, but it'll go on the crime map so will be contributory to any possible future work if there's a pattern. Never did see my stuff again, and whilst the insurance paid out well, you never replace everything exactly as you'd like it.