Maybe it was called the "Electic Eel" and "Electicty" was so named because it felt like touching an "Electric Eel".
No. Quoting [Wikipedia]:
The ancient Greeks noticed that amber attracted small objects when rubbed with fur. Along with lightning, this phenomenon is one of humanity's earliest recorded experiences with electricity. In his 1600 treatise De Magnete, the English scientist William Gilbert coined the New Latin term electricus, to refer to this property of attracting small objects after being rubbed. Both electric and electricity are derived from the Latin ēlectrum, which came from the Greek word for amber, ἤλεκτρον (ēlektron).
Today I will gladly share my knowledge and experience, for there are no sweeter words than "I told you so". ;-)