A place to go; a destination or a place where something (or someone's feelings) can be directed. Often used in the phrase 'no place to go'.
失業して彼は行き場を失った。
After losing his job, he lost his place to go / had nowhere to turn.
荷物が多くて部屋の行き場がない。
There are so many things that the room has no place for them.
子どもの怒りの行き場が見つからないようだ。
It seems the child's anger has nowhere to go.