I would drill a hole into the bottom shaft of the carrot, and then I would put a nut in there (i an waiting for that to be taken the wrong way) then i'd put one end of the chain link, put a bolt in there, heat up the rubber and mould it back to close and then repeat on the other side. I'm saying this because it'd be more visually appealing and whoever you're making it for probably won't be swinging around 2 floppy richards