FIG. 1 is a frontal elevation view of a bra strap clip showing my new design; FIG. 2 is a left side elevational view of the clip of FIG. 1; FIG. 3 is a rear elevational view of the clip of FIG. 1; FIG. 4 is a right side elevational view of the clip of FIG. 1; FIG. 5 is a top plan view of the clip of FIG. 1; and, FIG. 6 is a bottom plan view of the clip of FIG. 1.