Chronology
One item of importance about the appearance is that they provide a chronological synchronism for the chronology of Paul's life. According to Acts 18:2f, before Paul meets them in Corinth, they were part of a group of Jews whom the Emperor Claudius ordered expelled from Rome; if this edict of the Emperor can be dated, then we would be able to infer when Paul arrived in Corinth.
The evidence of other ancient sources points to two possible periods during the reign of Claudius: either during his first regnal year (AD 41; so Dio Cassius, Roman History 60.6.6), or during his ninth regnal year (49; so Orosius, Historia 7.6.15f). As a result the experts are divided over when this expulsion took place: some, like Jerome Murphy-O'Connor, argue for the earlier year, while others, like Joseph Fitzmyer, argue for the later year.
Read more about this topic: Priscilla And Aquila