We did. It was a positive experience. We went in for testing because we didn't think the school understood our questions about k. Like what would our kid be doing since she was reading chapter books already. It came as a teary surprise when we were told by the psychologist "well obviously you aren't sending her to kindergarten." I didn't even know skipping was an option.
We simply contacted the person in student services and told her our daughter's scores - we had the WJs to support the WPPSI so it was more clear I think (if your reading is in 3rd and math at the end of 1st - what will you do in k). Plus, there was a one line recommendation of the psychologist who would have fought our case if need be.
But our school just said yes. She was socially ready too. She adjusted well to all day (as she'd previously gone to pre-school 4 mornings a week).
We sent the next one to k early. She needs to time to build school skills or I would have done the same thing. As frankly, I'm starting to think my kids learn more outside of school than in but...
Oh some states require schools to have an early entrance policy. You may find a smoother conversation by using the language of entering 1st "early" instead of saying "skip" k.
