A tile aligning and lippage tuning method and system that uses an under tile base reusable upright connecting tab, which is detachably connected to said under tile base, a reusable flexible edge slotted cap configured to slip over the connecting tab and latch thereto as the cap is slid further down the connecting tab. The cap has an edge slot so that the connecting tab can be separated from the cap, by merely sliding the cap, so that the connecting tab passes through the slot. A flexible spring-like portion of the cap provides increased force on the tile even if undesired elongation of the connecting tab occurs.