The phrase to give somebody the elbow is an idiomatic expression that means to end a romantic relationship or a friendship with someone.
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– She gave him the elbow because she couldn't bear the way he used to treat her.– Jonathan has had a broken heart ever since David gave him the elbow.
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– The girl must have given him the elbow, Harriet decided.– Management promptly gave the new accountant the elbow after his miscalculation cost the company hundreds of thousands of dollars.
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– I won't have anything more to do with you lot till you give him the elbow.– They'll give me the elbow if they ever find out I came into work drunk yesterday.