Pick clone stamp tool, pick space just near the time (alt + click) and clone it over the time.
With eyedropper tool pick color from NYC or 22:37. Make new layer and pick Type tool. Pick some digital font (I picked Digital wide font). Type wanted time. Set the font size to fit nicely into watch empty space. Click on Rectangular marquee tool. Right click on time and go to Free transform. Rotate layer to make it parallel with other watch screen elements. Edit size again if needed.
You have got same watch now with wished time showing.