Glue question for Castaway

[rche]

I have finally tracked down the Dr Evil special Ling figure with the homecast hypnotic eye accessory.
Awesome.
But - unfortunately the eye has come off of its base, and one of the 'fingers' from the stalk that holds the eye is broken.

For the castaway folks : What sort of glue did you use to put these resin cast pieces together. I would like to glue them back, but don't want to damage the resin, or have to clean off a non-functional glue joint.

Thanks in advance