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Step 1
For the base, blitz the biscuits in a food processor or bash in a bag to make crumbs. Stir in the butter, then press into the base of a 22cm springform cake tin. Chill.
Step 2
For the praline, line a tray with baking parchment and lightly oil it. Tip the caster sugar into a frying pan and place over a high heat. Cook for 5 mins, without stirring, until dissolved and you have a dark amber caramel. Throw in the chestnut pieces, then quickly tip onto the baking parchment and leave to harden. Break or chop into small pieces and set aside.
Step 3
For the filling, blitz the chestnut purée in a food processor with the icing sugar and 1 tbsp of the rum. Set 3 tbsp of the mix aside. In a large bowl, whisk the cream with the caster sugar and vanilla until it holds its shape, then whisk in the soft cheese. Beat in the pieces of praline, then gently fold through the chestnut purée so that it ripples the cream. Spoon onto the biscuit base. Bang the cake tin gently on the work surface to level and smooth over the top. Cover with cling film and freeze for at least 12 hrs or up to 1 month.
Step 4
For the drizzle, mix the remaining rum with the reserved chestnut purée and enough water to make it just runny. If serving the cake within 2 days, chill the drizzle; if keeping for longer, freeze and defrost when needed.
Step 5
Put the cheesecake in the fridge to thaw a little 30 mins before serving. Using a sandwich bag with a corner tip cut off, pipe the drizzle over the top of the cake in a zig-zag pattern. Carefully remove from the tin and serve in small wedges – with a glass of rum if you fancy it.