Among the five Aegean scripts of the Bronze and Early Iron Ages, Linear A remains conventionally undeciphered, despite some comprehensive historical linguistics theories on the rendered phonetic values of the signs and the underlying language, which are practically neglected by mainstream archaeologists. The present study examines the significance of proper names (onomastics) in the successful decipherment of Linear B, the sibling script of Linear A that renders an archaic pre-Homeric form of Greek. It also reviews the decipherment attempts of Linear A, both in historical linguistics and computerized systems. Finally, it comments on the features of the various aspects of this topic and points to the most promising directions of the relevant research.