Touch calibration off?

Just upgraded my device, and every time I turn it on, the touch will work for a minute or so, but after that the calibration is drastically off; it registers my taps as being far more to the right than they are. Anyone else experiencing this issue/know how to solve it?

EDIT: Tried restoring. Worked fine, until my apps started coming back on. Could this be an issue within some certain app(s) causing a system-wide malfunction?

EDIT 2: I'm using an iPhone 5s 32 GB Verizon model.