give the elbow (third-person singular simple present gives the elbow, present participle giving the elbow, simple past gave the elbow, past participle given the elbow)
(transitive, slang, Britain) To fire (an employee); to end a relationship with someone; to reject someone.
They said I couldn't do the job so they gave me the elbow. So, now I'm looking for work again.
When are you finally going to give your boyfriend the elbow?