homecoming, arrive at, lead to, result in
帰 centers on returning to a point of origin: coming home, arriving back, or a process leading to a final result.
帰 is the modern simplified form of 歸. The older form combines a left component related to stopping or arriving with 帚 on the right, which likely contributed the sound. The modern simplification keeps the right side 帚 and replaces the left side with a simpler shape.
The right side 帚 looks like a broom. Picture sweeping your way back home after a long journey, arriving at your doorstep.
For キ, imagine a key turning in the lock as you return home: key -> キ, and the door opens to welcome you back.
to return; to come home; to go home; to go back
return; coming back
return; reversion; comeback; reinstatement
returning home; going home; coming home; getting home
return to one's country
return (home); repatriation
return
takeout (food); take-out; takeaway; carry-out; to-go
homecoming; returning home
return (to); revolution; recurrence
the way back; the way home; return trip
day trip
belonging; ascription; attribution; imputation; possession; jurisdiction
to send (someone) back; to send (someone) home
naturalization; naturalisation
welcome home
to take home; to carry home; to bring back home; to take out (e.g. food)
return journey; one's way home; one's way back
returning home to one's parents (orig. of a married person); visiting one's parents (for a prolonged period of stay)
becoming a devout believer; (religious) conversion
(the) way home; return trip; (the) way back
returning (home) to Tokyo; returning to the capital
leave; furlough
rehabilitation (in society)