FIG. 1 is a front, right perspective view of a hand-held extraction cleaner showing our new design; FIG. 2 is a top view thereof; FIG. 3 is a bottom view thereof; FIG. 4 is a front view thereof; FIG. 5 is a rear view thereof; FIG. 6 is a left side view thereof; and, FIG. 7 is a right side view thereof. The details shown in the broken lines form no part of the claimed design.