With the Jabbing dancer feat "each time you hit with an unarmed strike while using Jabbing Style, you can move 5 feet without provoking an attack of opportunity as long as you move to a space adjacent to the opponent you hit with the unarmed strike".
If you also have Hide in plain sight, can you hide between each attack?
If so, would you gain any benefit from attacking while hidden?
If you were in dim light or within 10' of such an area you could use HiPS from shadowdancer then yes. The usual benefit for attacking while hidden is the same as being invisible - assuming blind-fight doesn't get involved that's ignoring the target's dex bonus and +2 to attack.