Merging of isolated liquid drops is a common phenomenon that may greatly be influenced by adding polymeric contents to the liquid. Here, we bring out an exclusive control on the dynamics of the intermediate liquid bridge, thus, formed via exploiting the interactions of an exciting electric field with a trace amount of polymeric inclusions present in the intermingling drops. Our results unveil a unique competition of the elastic recovery and time-oscillatory forcing during the drop-unification at early times. However, damped oscillations as a specific signature of the polymer concentration feature eventual stabilization of the bridge at later instants of time. We rationalize these experimental findings in light of a simple unified theory that holds its critical implications in droplet manipulation in a wide variety of applications encompassing digital microfluidics, chemical processing, and biomedical analytics.