I tried to use @dmahapatro's example but I kept getting IllegalArgumentException. I eventually realised that it only happened for mixin methods (the method shows the signature of the mixin). Instead of invoke() I needed to use doMethodInvoke() to get the appropriate type coersion.
errorProneInstance.metaClass.invokeMethod = { String name, args ->
def result
def method = delegate.metaClass.getMetaMethod(name, args)
while(true) {
try {
result = method.doMethodInvoke(delegate, args)
break
} catch (AnnoyingIntermittentButRetryableException e) {
print "ignoring exception"
}
}
result
}