Ahahahaha Tarkan :))) Şıkıdım is meaningless word. Şıkıdım şıkıdım oynamak. Şıkıdım is like an adverb.

It just refers to the way of dancing "Crazy Dancing"

https://www.izlesene.com/video/parmak-siklatarak-super-mario-muzigi-calmak/7368464 this word verb form is : şıklat mak when you dance you do it like in the video but in the song he refers that she is dancing like maybe like this "https://www.youtube.com/watch?v=E0HssEncwGo" and also imagine if she is making the sound with her finger "şıklatmak" makes him crazy