Kadrina you wouldn't need to clear it, more like when you clear important notifications (someone uploading a new character doesn't count) they get 'archived' instead of deleted so they dont just vanish forever.
I recently logged in and found some notifications that someone had cancelled a character transfer request. I dismissed them without thinking and then realised who and why those notifications had appeared and it was something I needed to look into, however. Since I had cleared the notifications I had no way of viewing them again. I only found their profile again by going via their dA page. I put in requests for creator transfer and also some character links but while they were pending there didn't seem to appear to be any way to view said requests.
I suggest toyhouse adds some kind of activity history that shows pending/cancelled/accepted requests :)