The phrase 'give a big hand' is correct and usable in written English.
It is an expression used to show appreciation or congratulations. For example, "After her inspiring speech, let's give her a big hand!".
"Give a big hand to a warrior of the people!" Mr. Num exhorted the crowd.
S.C.L.C. and S.N.C.C. leaders seemed to be equally popular, but the N.A.A.C.P. and the Urban League, more active in other states than in Alabama, seemed to require a little help from Mr. Abernathy ("Now let's give a big hand to . . . ") to get their applause.
If one measure of wealth, and there are many, is how many of your compatriots you can buy, then give a big hand for magnate Carlos Slim, the interest or return on whose stash is the equivalent of the average annual wage of 400,000 Mexicans.
Then the OneMinutesJr videos kick off with a huge applause and when the OneMinutesJr logo comes on between the films, the producers and the cast of the movie that was just shown are always given a big hand again.
The National Institutes of Health (NIH), frankly, would rather give a big pot of money to people with more time on their hands, more advanced students, and bigger and better labs.
Give a big helping hand to everyone around you and show people the bright side of things.
Central bankers like to take the credit for the defeat of inflation, but emerging economies have given them a big helping hand, both by pushing down the prices of many goods and by restraining wages in developed countries.
They might want to put a leg up in the air, so David will be asked to mark it somehow, or slow the song down, or give it a big jazz hands finish.
You can hold the guy's hand, give him kisses, place a hand on his knee, or give him a big hug when you see him.
