Currently, Recurly doesn't support receiving chargeback data through the Recurly UI. Chargebacks should be handled directly through your gateway / merchant account provider and the customer's financial institute. Once you have processed the chargeback externally, you can then take the appropriate actions within Recurly by terminating the user's subscription, utilizing the account notes feature to notate the chargeback on the account as necessary for your business needs.
Unfortunately there is not currently a way to void the transaction or mark the invoice as refunded/ disputed. We do have a pending Feature Request for this functionality that our Product Team is currently tracking. While we don't have a timeline on if or when this functionality will be pushed to production, if you would like to be notified of when this goes live you can reach out to support: firstname.lastname@example.org and we'll add you to the request.