Is it safe to use oragel to treat pain on a lip wound that has stitches?

Consult doctor: Here is the information sheet: https://www.drugs.com/mtm/orajel.html It does caution use in broken skin as may absorb more although some practitioners are happy for it to be used - varies depending on specialty and country. Safest to consult a doctor, preferably the one who did the stitching.

Yes...Carefully: Oragel is a numbing cream. That's all. If you have a lip wound with stitches, it's rare that it would be painful for more than a day or so. However, if you need to, you can carefully apply a small dab with a clean Q-tip, and it should be safe. Don't apply too much pressure, and don't disturb the stitches. If the wound is still bleeding or oozing, then don't apply anything...wait for healing.