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A tunable Mott state is fortuitous as it is a model system to study emergent phenomena due to broken symmetries like superconductivity, novel magnetic order and charge order, as a Mott band is tuned across Fermi energy (E_F). In this work, we use scanning tunneling microscopy at 4K to study the Mott insulator, TaS₂. Charge density wave domain walls in TaS₂ create band tuning such that part of the lower Hubbard band crosses the E_F, creating a mobile pool of charge near the domain walls. STM spectroscopic maps show that these charges crystallize into unexpected 1D patterns. To distinguish the charge patterns from ordinary bound states, we carry out noise spectroscopy measurements and find that the 1D patterns show distinct telegraphic noise signatures indicative of a fragile condensed state. Combined with the large ratio of Coulomb to kinetic energies in this system, our data and calculations are consistent with the formation of a short-range, fragile charge order like an incipient Wigner crystal. The observation of crystallization in a strongly correlated regime makes TaS₂ a promising system for exploiting the charge and spin order in quasi 1D systems.