In this question I asked about non-standard nesting of over- and underbraces. Now I have occasion to do the same thing with \left{ and \right} in an array, thus
\begin{array}{l}
A \\ B \\ C \\ D \\ E
\end{array}
A right brace to the right of this array would encompass A, B, and C, and a left brace to its left would encompass C, D, and E, so the braces overlap.
How can that be done?