I wasn't aware you lost views... Can I ask why you want to cut the portion out after having already uploaded it?
Good question! I would upload a dummy/test video, let it get some views, cut some scenes, and see what happens.
Surely it shouldn't really affect your view count. If you really want to cut the clip then don't worry about the views anyway. Im assuming if you've managed 10k views people would be familiar with your content, and will continue returning. So don't worry about it!
Source: Google support
- View count: Video hasn't received over 100,000 views.
- Time: Video is shorter than two hours.
- Content ID: Video doesn't have a Content ID match.