In addition to or instead of cancelling internal tasks as ma_il mentions - you could break/cancel your async method execution if you detect that it should be canceled. E.g.
private int myFlipView_SelectionChangedCallId;
async private void myFlipView_SelectionChanged(object sender, SelectionChangedEventArgs e)
{
if (myFlipView == null) return;
var callId = ++myFlipView_SelectionChangedCallId;
Uri newUri = new Uri("ms-appx://" + (((BitmapImage)(((Image)(((ContentControl)(myFlipView.SelectedItem)).Content)).Source)).UriSource.AbsolutePath));
StorageFile file = await StorageFile.GetFileFromApplicationUriAsync(newUri);
if (callId != myFlipView_SelectionChangedCallId) return;
WriteableBitmap wb = new WriteableBitmap(1, 1);
if (file != null)
{
using (IRandomAccessStream fileStream = await file.OpenAsync(Windows.Storage.FileAccessMode.Read))
{
await wb.SetSourceAsync(fileStream);
if (callId != myFlipView_SelectionChangedCallId) return;
}
}
wb = ModifyPicture(wb);
myImage.Source = wb;
}
Also if your ModifyPicture method does any heavy pixel processing - you would want to run it on a background thread and await it.