Lambda the Ultimate

For an error recovery system that supports resume, I was thinking of packing the current continuation in the exception object. However, that raises an issue with freeing the resources: even though the program pointer escaped the context of the error, there is still a way to return there with "resume".

For example:

def foo(x) = 3 + (50 / x)
...
foo 0
catch
   e : DivisionByZero   e.resume 42   #the answer is 42
 | other                throw other

How do you normally deal with continuations that are returned from the current context?