I've stuck feathers on arrows with Fastset, and all kinds of other 'super glue' gels. It works fine. The old standby glues like Fletchtite and Duco do just fine too, but if the arrows are dipped or sealed, then you can have compatibility issues. I haven't used any of the newer glues that have come out for one reason.

A few years ago, I switched to Bohning fletch tape. It does great on all kinds of arrows, all kinds of finishes, it's not as messy and (after a little practice) I can fletch up a dozen arrows faster than I could fletch five arrows with super glue. The feathers stay stuck until I take decide it's time to them off - even in the extreme heat and humidity around the Dallas area - and then the arrows are so much easier to clean up and get ready to refletch. I don't reckon on ever again using glue to stick feathers on an arrow.