I prefer another clipboard history manager and set its hotkey to Cmd+Opt+C, which is either what the default from Alfred is or is what I previously had assigned in Alfred.
Every so often upon a fresh computer startup, Alfred's Snippets (part of Clipboard History if I'm not mistaken) appear instead of my other clipboard app.
It works to go to Alfred Preferences > Clipboard History > Viewer Hotkey > set it to anything else
However, even after doing so and doing subsequent rebooting of the computer, Cmd+Opt+C still pops up Alfred. Going to Alfred's preferences, I see my Viewer Hotkey looks to still be set to something different, but if I re-record the Viewer Hotkey, then the issue is again resolved.