What preposition should I use here?
If I want to say, for example, the word 'quibble' can be used [to describe] a small argument or fight, can I use on, as in 'quibble can be used on a small argument or fight'? Or 'quibble can be used for a small argument or fight'?If I want to express that xxx(some word) can be used [to describe] a small argument or fight, should I say 'xxx can be used [on] a small argument or fight'? Or 'xxx can be used [for] a small argument or fight'?

Question

What preposition should I use here?
If I want to say, for example, the word 'quibble' can be used [to describe] a small argument or fight, can I use on, as in 'quibble can be used on a small argument or fight'? Or 'quibble can be used for a small argument or fight'?If I want to express that xxx(some word) can be used [to describe] a small argument or fight, should I say 'xxx can be used [on] a small argument or fight'? Or 'xxx can be used [for] a small argument or fight'?

Answer

You'd say " [some word] can be used *for* a small argument or fight.

Answer

Exactly ! It is about small things and trivialities .
You usually say 
quibble about something .

- I am paying the bill.
- No, I certainly will.
- Let's not quibble about such a trivial matter !