If you're coming in short monthly to cover these, identify where the "leakage" is. 

Interior plumbing leaks..Has damaged been cause to the drywall over a leak??

It shouldn't break for several years if it's new and the repairs usually involve water leakages through tubes that can be repaired easily.

They also will shut the water off to the house once they are aware of the leakage.

After all, I don't want any of the leakage spill into my side too.  

After the inspection however, it was pointed out that the house needed a new roof ASAP, there was some leakage in the basement, and the framing was also pretty unsatisfactory which resulted in the house sort of concaving inwards a bit, but the inspector believes it may have just settled there and only came up as moderate concern on the report.

Ask the power company to evaluate for any electrical leakage that you can repair. 

I check for signs of plumbing leakage in the kitchen and baths and do a visual inspection for any noticeable damage.  

Risk of leakage, breakage, humidity, etc...  

Now if it involves cleaning out a sewer line or locating a pipe leakage inside a wall or underneath flooring, that's when a you call in the licensed professional.