This is a sample from the help file.
Code:
Sub ClearCalculatedRoute()
Dim objApp As New MapPoint.Application
Dim objMap As MapPoint.Map
Dim objRoute As MapPoint.Route
'Set up the application
Set objMap = objApp.ActiveMap
Set objRoute = objMap.ActiveRoute
objApp.Visible = True
objApp.UserControl = True
'Add route stops and calculate the route
objRoute.Waypoints.Add objMap.FindResults("Seattle, WA").Item(1)
objRoute.Waypoints.Add objMap.FindResults("Redmond, WA").Item(1)
objRoute.Calculate
'Now clear the route
objRoute.Clear
End Sub