I found this in this sentence:
He wears collar and tie for work.
If I don't think of this as an idiom, I presume that he wears something that has a collar and a tie separately from it.
In a strict sense wear a collar and tie isn't an idiom.
The most near one is collar and tie men & collar and tie and in loose terms you can refer wearing a collar and tie like a idiom.
collar-and-tie men >> businessmen who wear dress shirts and ties.
You may find a occurrence here:
Note: Wearing a collar and tie /historical edge