In short there's not that much difference between a running power meter and a cycling power meter as both measure power output in wattage for the two sports. The differences come down to they type of devices.
Running power meters started with heart rate monitor, chest strap-style devices, but you're now more likely to find foot pod sensors that clip onto your laces, which then deliver data to a wrist-based sports watch, smart phone apps and training platforms such as Zwift.
Cycling power meters come in all shapes and sizes, and can be fitted in five key areas on the bike; the rear wheel hub, the bottom bracket/spindle, chainrings, crank arm and pedals.