That's not what Ctrl+C is meant for or used for. It's used to terminate the running application, not the running task within that application.
If you want to be able to "resume your work" then you should press Ctrl+Z.
If you want something else then the application should probably be listening for some other keystroke. "Catch Ctrl+C and do something else" is a pretty awful idea for the very reason mentioned at the top of TFA (when you press Ctrl+C, it's to get out of whatever you're stuck in, so that you don't have to go open another terminal and type in killall ...)