Stalled at goal weight — should I drop the dose?

Hit my goal (lost 65 lb) two months ago. I've been hovering within a 3-lb window since, which technically is maintenance, but I'm still on 2.4 mg. My doctor wants to taper to 1.7 then 1.0 and see how I do.

Anyone done this taper successfully? I'm scared of regaining. The studies on stopping show pretty bad rebound but tapering's barely studied.