If you've played videogames like TimeSplitters 2 [1], you would have encountered these "homing rockets". They try to follow their target so they don't miss. These "homing rockets" "home in" on their target. So think in terms of heat-seeking missiles, not houses or homes!
Yes, I got exactly this example while googling the definition. But to be honest, I didn't meet a "homing missile" term since 1990s air combat simulators.
[1] - https://youtu.be/cLWMpfb24_8?t=44