Rubber Dam in the Anterior
A simple way to keep the rubber dam sitting tight around the gingva is to use a floss tie. You probably see them all the time on Facebook and Instagram. Ever wondered how to do it? It's actually dead simple.
Brinker B4 Clamp
Another great way is to use a Brinker B4 clamp. These can be used in addition to a regular clamp. The regular clamp actually holds the dam in place. The B4 works to keep the rubber dam down around single tooth. You can place it subgingivally and it holds well. I believe i first saw this on a post by Lincoln Harris.
An issue i've noticed with B4's is they can sit up and in the way. You can tie floss the the B4 and hold it back by tying this to the rubber dam clamp.
Anterior rubber dam tips
Punch holes in an arch form with enough space between them, otherwise you'll end up with it pulling away from the palatal
Isolate more teeth, 3-3 or even 4-4, 5-5.
Use floss ties
Try a Brinker B4 clamp