We present a search for excited and exotic electrons (e(*)) decaying to an electron and a photon, both with high transverse momentum. We use 202 pb(-1) of data collected in p (p) over bar collisions at root s =1.96 TeV with the Collider Detector at Fermilab II detector. No signal above standard model expectation is seen for associated ee(*) production. We discuss the e(*) sensitivity in the parameter space of the excited electron mass M(e)(*) and the compositeness energy scale Lambda. In the contact interaction model, we exclude 132 GeV/c(2)< M(e*)< 879 GeV/c(2) for Lambda=M(e*) at 95% confidence level (C.L.). In the gauge-mediated model, we exclude 126 GeV/c(2)< M(e*)< 430 GeV/c(2) at 95% C.L. for the phenomenological coupling f/Lambda approximate to 10(-2) GeV(-1).