"bickering over" is a correct and usable phrase in written English.
You can use it when two people are arguing over something in a petty way. Example sentence: The couple was bickering over who would do the dishes.
Husband Sam and wife Dinah are bickering over breakfast.
Since elections last year there have been months of bickering over the cabinet's composition.
He bantered with the audience, good-naturedly bickering over song requests, and covered Bob Dylan.
Trade relations are fraught with bickering over patents, visas, market access and the transfer of technology.
Saudi Arabia, Qatar and Turkey are bickering over whom to support in Syria.
Cue the bickering over precedent of witnesses not being sworn in.
The two sides have been bickering over a variety of issues.
They had been bickering over the ordinance for more than two years.
Negotiations began in Paris, but the rest of the year was spent bickering over procedural issues.
The Democrats, meanwhile, are bickering over the lessons of their defeat.
TIRED of lightweights bickering over the financial crisis and its aftermath?
