The volume of work is inconsistent and can be very overwhelming. Average volume days (a.k.a days where you’re assigned an average number of claims) are busy days. High volume days (when you get assigned more claims than average) can be overwhelming busy, requiring you to (unless you’re extraordinarily efficient) to stay late in order to work all your assigned claims. While the large volume of work assigned was a “con” for me, I don’t believe it’s an unfair amount of work given the compensation. And there are occasional low volume days to make up for the higher volume days. There is also a claim's assigning system called ACTA to ensures that no individual rep is assigned an unfairly high number of claims.
The other con is that a lot of the customers can be difficult to deal with; particularly those who are not at fault but aren’t getting results as quickly as expected. However, dealing with upset customers is a part of any customer service job, and this became less and less of a con for me throughout my tenure, because I learned to stay calm by not taking the frustration of my customers personally.