A tile aligning and leveling method and system that uses an under tile base re-usable upright connecting tab, which is detachably connected to said under tile base, a re-usable 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.