Absolutely. That's why I asking y'all. I've got ideas of what to do - are they sensible ideas? Are they safe?These batteries can deliver tens of amperes. If the circuit pumps that up from 3.7 V to 15 kV, then it could deliver in excess of 10 mA if it is being limited by the battery. This is well into the vicinity of dangerous shock territory and not far from the range of lethality. Depending on the details of how the circuit behaves when connected to a relatively low-impedance path (like a person), it might well put out considerably more current than this.
So the shock hazards associated with what you are trying to do can't be ignored. If you aren't willing to consider them and do what is necessary to ensure that, under no conditions, can it deliver harmful currents to a human, then you really should walk away from the project. The good news is that taking the steps needed to ensure this probably aren't too onerous, it's just that they can't be ignored, whether it be due to carelessness, ignorance, or neglect.