Food, frozen dinners, vegetables, beer, half bottle of wine, spices, rice, etc......We leave things that are potentially useful, like food that gas not been opened, or is unused and fresh.

My Question; is it legal for me (property owner/landlord) to create a signed agreement with future Tenants that states, when the outside temperature drops below a certain degree they must "trickle" water from all faucets to prevent bursting and frozen pipes?

@Keegan Burmark Keep in mind that during financial crashes LOCs tend to get frozen. 

A frozen pizza I made the other night needs 425. 

Every pipe / joint pretty much  was frozen and burst in that period from Feb through June 2016.  

Even just cooking a frozen pizza went from 15 minutes to over an hour. 

But honestly, I'm cool with any place that I won't run into frozen pipes.

If you are worried about not knowing about a  loss of heat and frozen pipes you could just get an alarm that tells you if the temperature drops or electric goes out.  

In the Chicagoland area you can’t afford to have utilities off in the winter you’ll have frozen pipes.  

If the tenant is not maintaining appropriate temperature in the home, you are at risk of frozen plumbing and bursting pipes.