quibble over (something)
To argue, dispute, or contend (with someone) over or about something, especially that which is trivial or petty. I'm happy enough with following your plan, so let's not quibble over the details. The couple was just quibbling with one another over the bill, much to their waiter's consternation.
quibble about (something)
To argue, dispute, or contend (with someone) about something, especially that which is trivial or petty. I'm happy enough with following your plan, so let's not quibble about the details. The couple stood quibbling about the bill, much to the waiter's consternation.