"keep hailing" is a correct and usable phrase in written English.
You can use it when you want to emphasize that someone should continue to call out or greet someone loudly and persistently. Here is an example sentence: "The stranded sailors desperately waved their hands and kept hailing passing boats for help."
"It was a promise made and it is now a promise kept," said Tony Blair, hailing the New Deal as "one of the government's proudest achievements".In Tower Hamlets, an East London unemployment blackspot sandwiched between the City and Canary Wharf, Matthew Wheeler is one of the young people who will be counted in the New Deal statistics.
I keep typing and hail a cab.
But buying a tin for a hundred and fifty thousand dollars, betting that New Yorkers, like the Statue of Liberty, will keep their cab-hailing arms raised forever, may not be the craziest place to start.
They kept coming over and hailing Mrs. Susskind's status as the grande dame of Staten Island.
That disguise has helped keep Social Security sacrosanct — hailed by Democrats because it protects the poor and backed by Republicans as a reward for steady work.
My husband does not keep kosher, but I hail from one of the most superstitious strains of Roman Catholicism (the Sicilian), and I worried that knowingly serving pork to Jews on Passover might be some sort of mortal sin.
German football has long hailed those who keep a cool head in the heat of battle.
With one out in the top of the third inning, Mets Manager Art Howe popped out of the dugout, thrust his right arm in the air and kept it there, as if hailing a cab home.
It is rare that a police officer is ever charged in the death of a suspect, and Mosby (who was forced to keep reminding critics that she hailed from "five generations of cops") took a major gamble to pursue the case.
