The phrase "a squabble between" is correct and usable in written English.
It can be used to describe a disagreement or argument involving two or more parties.
Example: "The article discussed a squabble between the two rival factions over the leadership of the organization."
Alternatives: "a dispute between" or "a conflict between".
In simple form, this is a squabble between a buyer and a seller.
My only point today is that we think the budget mess is a squabble between partisans in Washington.
It involved a squabble between union and nonunion printers, and by today's standards was relatively mild stuff.
The day ended with a squabble between Columbia and Garmin, the only American-based teams in the Tour.
And yet we haven't moved very far from thinking of the Second Sino-Japanese War as a squabble between the natives.
In part it was a squabble between the people of the Kao district and immigrants from the volcanic island of Makian over the control of a gold mine.
Buying an antispam program from the same company that makes your other security software has some benefits: a familiar user interface, and less potential for a software squabble between Company A's antivirus program and Company B's spam-filtering product.
"Jackie wouldn't have hired this other writer to take out her laundry": a squabble arises between two competing books on Jacqueline Kennedy Onassis's career as an editor.
A lengthy sequence depicting a backyard squabble between father and daughter over her reluctance to discuss the recruitment process with him is the emotional core of the film.
After a yearlong delay due to a legal squabble between Mr. Sondheim and Mr. Rudin over the show's rights, "Bounce," as the show was now called, had its debut in June at the Goodman.
Much more than a local squabble between the two losing semi-finalists, the match served as a barometer of England's impressive progress since Silvia Neid's side swatted them aside 3-0 in a friendly at Wembley last November.
