A small dab of blue is fine for most things where loosening is annoying. It might be worth asking yourself why the clamp load isn't holding it in place.
I say that because low dollar scope rings are notorious for losing clamp load due to flexing and coming loose. Adding locktite keeps it tight, but the scope is still not clamped. Better rings are sometimes Loctited, but for no reason or to cover poor assembly and Murphy's Law.