Main benefits:
The main benefits to the conductometric titration are its applicability to extremely dilute and coloured solutions and to system which includes associative incomplete reactions. For instance, that neither a potentiometric, nor indicator method could be used for the neutralization titration of phenol (Ka = 10-10) a conductometric endpoint could be successfully applied.
Application: the Acid-base titration, especially at trace levels. Relative precision better than 1percent at all levels. There are also few drawbacks with these methods. As you know the conductance is a non-specific property, concentration of other electrolyte could be troublesome.
The electrical conductance of a solution is a measure of its currents carrying capacity and thus determined through the total ionic strength. That is a non-specific property and for this purpose direct conductance measurement are of little use unless the solution contains just the electrolyte to be determined or the concentrations of other ionic species within the solution are known. Conductometric titrations, in that the species in the solution are converted to non-ionic for through neutralization, precipitation, are of more value.