  We present the status of an experimental test for gravitational strength
forces below 1 mm. Our experiment uses small 1 kilohertz oscillators as test
masses, with a stiff counducting shield between them to suppress backgrounds.
At the present sensitivity of approximately 1000 times gravitational strength,
we see no evidence for new forces with interaction ranges between 75 microns
and 1 mm. While the Casimir background is not expected to be significant at
this range, an extension of the shielding technique we employ may be useful for
reducing this background in experiments below a few microns. We describe a
possible implementation.
