Teak Floors

On my BCC Calliste #72, the Teak feather edge on the aft cabin floor
is splintering off, leaving gaps between this edge and the
Treadmaster covered hull is allowing hair and small stuff to get into
the bilge along sides of the aft water tank.
Does anyone have a good fix for this problem and can share it with
us ? I am considering routing out a fore and aft channel on each edge
and inlaying a strip of copper flat stock, but maybe someone in the
group has a better solution ?

Douglas Walling