project substantially colinearly from the depending cylindrical side wall 28 and each terminate in a lower distal end whereat an arcuate radial projection 34 is mounted along an interior surface the arcuate radial projection 34 projects radially inward towards a center of the depending cylindrical side wall 28 and operates to engage a handset groove 18 extending about the communicating portion of a handset 14 to which the device 10 is to be associated by this structure the engaging means 16 can be easily snapped into engagement with the handset groove 18 of the handset 14 so as to retain the device relative thereto preferably the arcuate tabs 30 are of an arcuate length substantially equal to an arcuate length of the cutouts 32 such that the engaging means 16 of a pair of the telephone handset covers 10 can be cooperatively engaged as shown in fig2 of the drawings to facilitate retention of such positioning of a pair of the telephone handset covers 10 it is desirable for each of the arcuate tabs 30 to further include an arcuate axial projection 36 extending from the lower distal end thereof as shown in fig7 of the drawings the depending cylindrical side wall 28 within each of the cutouts 32 is thus shaped so as to define an arcuate axial groove 38 shaped for cooperative reception of the arcuate axial projection 36 when a pair of the telephone handset covers 10 is coupled together if desired a storage case 40 can be provided with the present invention 10 for storing new or contaminated covers 10 therewithin in use the telephone handset cover 10 according to the present invention can be easily utilized to effect sanitary covering of the.