There are great ways to think of how to attack the on-call situation even if you aren't in an on-call rotation. By being a conscientious developer and taking that extra interest in your software after deployment you're adding incredible valuable. Your co-workers may also really end up appreciating your time a little bit more as well.
Some people are born to on call, and some people have on call thrust up on them. Andrew Clay Shafer stole good ideas from wherever he could and started calling them all devops. Andrew tries to solve more problems than he causes but often fails. If devops ever caused you any problems, Andrew feels bad. If devops ever helped you with anything, he also apologizes.