This paper proposes a bio-degradable antenna design well-suited for the 5th generation (5G) wearables. This antenna has a graphene patterning instead of conventional metallization on a textile substrate to make it eco-friendly as it avoids copper corrosion due to repeated washing of the wearable garments. The antenna design incorporates coplanar waveguide (CPW) feeding and directive stubs to converge the radiation pattern. The antenna patch footprint is reduced by fitting the radiating length into a small area by inserting the cut-outs through an iterative design process. The proposed antenna offers a bandwidth that covers the proposed newly launched 5G band (i.e., 3.4-3.8 GHz) with a resonant frequency at 3.55 GHz, realized gain of 4.11 dB, and an efficiency of 83%.