If you give her the gift, what message do you want that to convey and what message do you think she will receive?
Gift giving to a WAS is always dicey. It can be interpreted to mean that you are still pursuing, waiting in the wings with your life on hold waiting for their return. That's not where you want to be.
Alternatively it can be perceived as a peace offering, that you have accepted their choices and are willing to be friends. That's fine if that's what you want.
The problem is that you can't control which interpretation she takes from it and trying to explicitly discuss it usually goes badly.
Generally your daily behavior will clearly communicate if you have dropped the rope or not. If you have no doubt that your W knows you have completely let go then a small gift is great. Otherwise proceed with caution.
Acc
Married 18, Together 20, Now Divorced M: 48, W: 50, D: 18, S: 16, D: 12 Bomb Dropped (EA, D): 7/13/11 Start Reconcile: 8/15/11 Bomb Dropped (EA, D): 5/1/2014 (Divorced) In a New Relationship: 3/2015