Get Under Someone's Skin Meaning
(idiomatic) To make a memorable impression or have a strong effect on someone; to impact someone's feelings.
Example: 1920, Mary Roberts Rinehart, A Poor Wise Man, ch. 15:
[T]his Bolshevist stuff gets under my skin. I've got a home and a family here. I started in to work when I was thirteen, and all I've got I've made and saved right here.
1929, Edgar Wallace, The Black, ch. 57:
She could get under his skin and drag on the raw places.
2003 July 28, James Poniewozik, "Body Shop," Time:
Some TV shows get under your skin with lovable characters or subtle writing.