have (something) out
To have something removed surgically, as due to medical necessity. If your wisdom teeth are impacted, you'll have to have them out sooner than later. Yeah, I had my tonsils out when I was seven.
have something out (with someone)
to settle a disagreement or a complaint. (Fixed order.) John has been mad at Mary for a week. He finally had it out with her today. I'm glad we are having this out today.
have something out
to have something, such as a tooth, stone, tumor, removed surgically. (Fixed order.) You are going to have to have that tumor out. I don't want to have my tooth out!
have it out
Settle decisively, especially in an argument or discussion. For example, "I shall double-lock myself in with him and have it out before I die" (Charles Dickens, Nicholas Nickleby, 1839). [Early 1800s]
have it out
To settle decisively, especially by means of an argument or a discussion.