  We discuss recent CLEO results on D0-D0bar and B0d-B0dbar mixing. The
principal results are that for the D0 system, allowing for CP violations, the
mixing amplitude x'<2.9% (95% C.L.), and for the B0d system,
chi=0.198+-0.013+-0.014. We make projections for future sensistivity to
D0-D0bar mixing, and to sin(2*beta+gamma).
