How to prevent leaving hot tap/faucet running?
The very best solution for this is to install the newest type of faucet that has an infrared sensor that detects your hands near the faucet and turns on the water. When the hands leave the area of the faucet the water turns back off. 

These generally operate on a battery so no special wiring is needed and as I understand the batteries last a good length of time. You can find many examples of these faucets online by using search terms of:

Automatic Faucet

Sensor Faucet

Touchless Faucet