"exchange compliments" is a correct and usable phrase in written English.
It means to give and receive compliments in return. Example: During the dinner party, the guests exchanged compliments about the delicious food and elegant decorations.
W.B. Yeats, T.S. Eliot, Siegfried Sassoon, Virginia Woolf, Robert Graves, E.M. Forster, the young Graham Greene and countless others would make the long ascent to her flat, read stories and poems, and exchange compliments and insults over strong tea and halfpenny buns.Despite her prickly nature and sense of persecution Edith Sitwell was always quick to recognise and praise a talented new writer.
Exchange compliments and praise.
Norman Mailer and Dan Propper exchanged compliments on each other's works.
The two had exchanged compliments for the last two days.
The two exchanged compliments in separate news conferences on Wednesday.
Lacroix walked past, and the two designers exchanged compliments, suprised to see one another there.
Afterward, Murray and Nadal hugged at the net, then exchanged compliments the way they had exchanged groundstrokes.
Kim said she met Oppegard for the first time in Los Angeles when she was 9 years old, and the two exchanged compliments on Friday.
At the same time, at Camp David today, he and Bush exchanged compliments and warm words about the continuing close relationship between the US and Britain.
For a moment last week it felt reassuringly like old times, as Barack Obama and Angela Merkel exchanged compliments and smiles during the outgoing US president's visit to Germany last week.
Trump has exchanged compliments with Putin, though critics have said Russia is meddling in the US election in order to tip the scales in Trump's favor.
