This is new to me. I left Exodus (yes, the irony) actually after they dropped support for Dogecoin with what I felt was inexcusable reasons for lack of developer response (despite getting contradictory responses from actual Dogecoin devs on reddit). Basically, there just doesn't seem yet to be a solid and secure option yet for multi-crypto wallets.
Before using Exodus people should have a fair idea what it does,it's not natively written in any Desktop Development Environment but built on top on GitHub's Electron Api which is nothing but another instance of the browser running on your desktop.Speaking technically,you are just using a browser which have the capabilities to diirectly/indirectly manipulate the data on your computer.Do you see any red flags now ? You should !
As tryninja says though, you're really only at risk if your device is compromised... Would need a fellow developer to replicate that exploit though, the way the Jaxx exploit was.
Since the Exodus files will reside on the client's computer,the wallet is always vulnerable to other viruses/throjans.