Are medications required routinely after the continent ileostomy?

Not for ulc. colitis: If the ileostomy was done for rx of ulcerative colitis that wasn't responding to meds, then not needed. May need occasional meds for symptomatic rx, e.g. Antidiarrheals. Joint issues, eye issues, skin issues often resolve after removal of the colon. Liver issues may not.

Not necessarily: The medications required will be to treat the original condition for which you had the ileostomy but not necessarily for the ileostomy per se.