The good news about SpamCop
Of the three lists with real impact (Spamhaus, Barracuda, SpamCop), SpamCop is the easiest to resolve: in most cases you don't need to do anything manual. SpamCop SCBL is based on reports from real users marking emails as spam, and if those reports stop coming in, your IP delists itself.
How it works
SpamCop receives spam reports from its network of users. If your IP accumulates enough reports within a time window, it gets listed. The list is based on recent activity, not a permanent history.
Step 1: Check your listing
Check your IP at spamcop.net to confirm whether you're listed and see the detail of reports received.
Step 2: Stop the cause
Identify what's generating the reports — a recent mass email campaign, a compromised account sending spam, or a web form being abused to send unwanted emails. Stop that activity immediately.
Step 3: Wait
When you do need manual action
If you've confirmed you stopped the problematic sending and you're still listed after 48 hours, check SpamCop's portal to report the case directly — this is the exception, not the rule.