We consider semiclassical quantization of spiky strings spinning in Ë ¿ part of Ë ¢ Ë using integrability-based (algebraic curve) method. In the "short string" (small spin) limit the expansion of string energy starts with its flat-space expression. We compute the leading quantum string correction to "short" spiky string energy and find the explicit form of the corresponding 1-loop coefficient ¼½ . It turns out to be rational and expressed in terms of the harmonic sums as functions of the number Ò of spikes. In the special case of Ò ¾ when the spiky string reduces to the single-folded spinning string the coefficient ¼½ takes the value ( ½ ) found in arXiv:1102.1040. We also consider a similar computation for the Ñ-folded string and more general spiky string with an extra "winding" number, finding similar expressions for ¼½ . These results may be useful for a description of energies of higher excited states in the quantum Ë ¢Ë string spectrum, generalizing earlier discussions of the string counterparts of the Konishi operator.