Typically once a player clears waivers they are outrighted to the minors, but in this case Dickerson was already waived before (last offseason) so he was on release waivers and not outright waivers meaning he’s gone now. They could have traded him, but teams simply chose to wait out the Yankees and will now try to pick him up as a free agent.
Dickerson, 31 in April, did very well in a short period for the Yankees last season and hit .286/.412/.714 in 25 games. That was after he hit .316/.417/.515 in 69 games at Triple-A. Those are good numbers that show he probably deserved a better shot with the Yankees, but unfortunately he is left handed and they are heavy with left handed hitting outfielders right now so he was waived to make room for Russ Canzler on the 40-man roster.