godan verb (-ku), intransitive verb
settle down; stay for good; stay on
Describes someone or an animal staying in a place permanently or for a long time, often implying they become a fixture there.
彼は東京に居着いて、もう故郷には戻らないつもりだ。
He has settled down in Tokyo and doesn't intend to return to his hometown.
野良猫がうちの庭に居着いてしまった。
A stray cat has taken up residence in our garden.