I've broken both twice. First was also a head injury that was so severe they did nothing for my shoulder. The collarbone set up crooked and about 1/2" shorter. Limits my throwing. 2 were accompanied with broken ribs. Ribs hurt so much more that the collarbome was barely an issue besides making sleeping arrangements a little harder.
Collarbones are almost always a painful non-issue if you back off activity and do your best to keep your shoulders pulled back. I always go to get the X-rays and professional look because I do not want life-long shoulder issues from a poor set but I fully expect to be told "it's going to hurt for a few more weeks. Be gentle with it. Keep your posture good. There's not much we can do."