What goes wrongThe candelabra broke, with the chain piece and body separated. The specific risk identified is that the repair will not hold under the piece's considerable weight, and that the loops anchoring the chains may be compromised. A secondary concern raised is that the piece is used with fire, making adhesion failure a safety issue rather than merely a cosmetic one.
What recovers itBond the structural joints with a longer-curing epoxy (one commenter specifically names JB Weld, noting it is very strong and somewhat thicker than standard epoxies, though it cures grey rather than clear). After the epoxy has set, apply traditional kintsugi to the crack lines for the visible finish. Add metal staples or clips at the chain-attachment points for mechanical reinforcement. If the loops are intact, the chains themselves need no repair.