to join (hands); to take (each other's hands)
to scramble for; to struggle for; to fight for
to pay attention to; to take notice of; to listen to; to concern oneself with; to deal with
二人が席を取り合った。
The two fought over a seat.
限られた資源を取り合っている。
They are competing for limited resources.
チーム同士が首位を取り合う熱い展開だ。
It is a heated development where teams compete for the top spot.