Non-resonant antenna configurations are investigated to provide compact radiators suitable to be adopted in wearable electronics. The non-resonant radiator exhibiting a capacitive reactance and a non-negligible radiation resistance can be matched by using a suitable underneath surface which is also able to prevent the radiation toward human body. High Impedance Surface (HIS) have been proved to be a suitable configuration to provide these two features. The focus of this paper is on the selection of a suitable primary radiating element. A novel element based on a CPW-fed version of a multiple-arm dipole is proposed and compared with the standard CPW-fed monopole previously employed in similar designs.