"Sir, it is I who has jeopardized our friendship, not you. If you will overlook this incident I would like to continue to consider you my friend."

It's not one of the more popular ones because it's not something you can quote in specific situations. I like the conversation a lot because it shows that sometimes people make mistakes and not every contradiction or error has to be a friendship ending event. In fact, you can admit fault, ask for forgiveness, learn from the mistake, and work together to move on. I could tell watching it that Worf didn't not respect Data, but his familiarity with him and the habit of freely speaking his mind around him was the reason behind his behavior. Unfortunately, that doesn't work when the chain of command has to work in a particular way. I think Data also handled it extremely well: he pulled his XO aside, and briefly but clearly spoke his piece. One person made a mistake, and both worked together to fix it.

I've tried to do the same at work. I like my coworkers and I'm a friendly guy so we banter and joke and all that, but if I raise an issue more than once and they don't seem to internalize it, then I do the same thing. I pull them aside, we have a chat, and work it out together. I'm not interested in starting shit, or scolding another grown person, we're trying to solve a problem together.