・give a person a big hand ＝give a big hand to a person 人に盛んな拍手を送る.

・get a big hand for one's performance 演技がすばらしいので拍手喝采を得る.

11 方, 側, 方向 (side, direction).

・sit at [on] a person's right [left] hand 人の右[左]手に座る.

・on the right [left] hand of… …の右[左]側に.

・on either hand 両側に.

・⇒on the other HAND.

・⇒on all HANDs, on every HAND, on (the) one HAND…on the other hand….