From Longman Dictionary of Contemporary Englishgo with a swinggo with a swingBritish English if a party or activity goes with a swing, it is enjoyable and successful everything you need to make your party go with a swing → swing
Examples from the Corpus
go with a swing• In the evening, after the first stiffness wore off and charades were introduced, the party went with a swing.• Now he was in an excellent mood and the party began to go with a swing. 