For me it means that I was able to look objectively at some of my ways of thinking and feeling and realize that I didn't have to do it that way. I was able to let go of the attachment to doing so and change my own reaction to things.
In the tradition I follow this is called "finding the listener".
During meditation, one can experience moments of such clarity of mind, that the answers to difficult or deep rooted issues suddenly show up in front of you. Usually it turns out the solution is so simple, that they wonder why they've never seen it before, and now they cannot unsee it.
Can someone with experience in meditation explain what this actually means?