I've fixed the problem at the source so that it isn't a recurring problem, but is there a way to remove the cursor from a clip?
Apologies if this has been asked already but a quick search didn't show others asking.
Depends on what is under the cursor.
If your cursor is stationary then you could use the clone stamp tool (which will require the clip to be in a composite shot). If it is moving around then you will have to track the cursor and attach the clone stamp tool to the track - but this may look weird depending on what is behind the cursor at the time.