My first question is how long ago this was. You said ‘recently’. Was that yesterday? Last week? Last month?
my experience with UA is refunds take about a week to a week and a half to show up. If you canceled really quickly, the pending charge might not clear and will just drop after 3-5 days or so. But if it was longer than say, 30 minutes the charge will clear, then a refund will post later (like I said, week - week and a half is my experience). If it hasn’t been that long, I’d wait.
other option is to check the refund status online. You need your ticket number for that - but it should show something if your refund is pending.
If course, you can always call and an agent can look into it.