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Heat oven to 200C/180C fan/gas 6. Mix the crabmeat with the chilli, a few drops of Tabasco, half the lime juice and the chives, to taste. Reserve any fennel fronds and set aside. Use a mandolin or a very sharp knife to thinly slice the fennel, then place in a bowl of cold water with a few ice cubes in it.
Cut the bread into wafer-thin slices and place on a baking tray. Drizzle with a little oil and bake for 2-3 mins or until crisp. Blitz the avocado in the small bowl of a food processor until smooth. Add a few drops of Tabasco, the rest of the lime juice and some seasoning, and blitz again.
Melt the butter in a frying pan and, once foaming, add the cubes of melon. Cook gently for 2-3 mins until warmed through and slightly softened. Set aside to cool a little. Drain the fennel and mix with the preserved lemon, oil, lemon juice and some seasoning.
To serve, transfer the avocado cream to a piping bag. Snip off the end and pipe swirls onto the plates. Divide the fennel slices between the plates, arranging them in a line. Top with the crab mixture and poke three or four bread wafers in at intervals, so that they stand up. Top with the reserved fennel fronds, then scatter the melon around the plates.