Rapid aft cyclic will produce flare effect and increase Nr - rapid forward cyclic will do the opposite. Alternating the two will just make for an unpleasant ride.
Just lower the lever and flare if you want to recover Nr - if you have some speed then rolling and pulling into a turn will help.
Just try the 'pumping' thing in a normal auto and see what happens - not comfortable and not useful.
If you wash some speed off with flare to increase Nr and then gently move the cyclic forward you can get a second bite as long as you still have speed but it's probably no more effective than just holding or tightening the flare in the first place.